# Publications by the Blume Research Group, University of Oklahoma.

**Center for Quantum Research and Technology (CQRT) **

**Homer L. Dodge Department of Physics and Astronomy**

## Publications

The Blume group was located at Washington State University from 2001-2017 and relocated to the University of Oklahoma in summer 2017.

Undergraduate students, graduate students, and postdoctoral researchers of the Blume group are highlighted in **bold**.

#### 2020

**Jianwen Jie**, Shan Zhong, Qimin Zhang, Isaiah Morgenstern, Hio Giap Ooi, **Q. Guan**, Anita Bhagat, Delaram Nematollahi, A. Schwettmann, and D. Blume, Dynamical mean-field driven spinor condensate physics beyond the single-mode approximation, submitted for publication (2020).

**Jianwen Jie, Q. Guan**, S. Zhong, A. Schwettmann, and D. Blume, Mean-field spin-oscillation dynamics beyond the single-mode approximation for a harmonically trapped spin-1 Bose-Einstein condensate, submitted for publication (2020).

**Q. Guan**, T. M. Bersano, S. Mossman, P. Engels, and D. Blume, Rabi oscillations and Ramsey-type pulses in ultracold bosons: Role of interaction, Physical Review A **101**, 063620 (2020). Highlighted as an Editors’ Suggestion.

M. Kunitski, **Q. Guan**, H. Maschkiwitz, J. Hahnenbruch, S. Eckart, S. Zeller, A. Kalinin, M. Schoeffler, L. Ph. H. Schmidt, T. Jahnke, D. Blume, and R. Doerner, Swirling the weakly bound helium dimer from inside, submitted for publication (2020).

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#### 2019

**Q. Guan** and D. Blume, Energetics and structural properties of two- and three-body

systems in the presence of one-dimensional spin-orbit coupling, Physical Review A **100**, 042708 (2019).

F. Wang, X. Ye, M. Guo, D. Blume, and D. Wang, Observation of resonant scattering between ultracold heteronuclear Feshbach molecules, Physical Review A **100**, 042706 (2019).

**J. Jie, Q. Guan**, and D. Blume, Spinor Bose-Einstein condensate interferometer within the undepleted pump approximation: Role of the initial state, Physical Review A **100**, 043606 (2019).

**Q. Guan** and D. Blume, Electric-field-induced helium-helium resonances, Physical Review A **99**, 033416 (2019).

**Q. Guan**, V. Klinkhammer, R. Klemt, J. H. Becher, A. Bergschneider, P. M. Preiss, S. Jochim, and D. Blume, Density Oscillations Induced by Individual Ultracold Two-Body Collisions, Physical Review Letters **122**, 083401 (2019). Highlighted as an Editor’s Suggestion and through a Synopsis in Physics.

D. Blume, Few-boson system with a single impurity: Universal bound states tied to Efimov trimers, Physical Review A **99**, 013613 (2019).

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#### 2018

S.-J. Wang, **Q. Guan**, and D. Blume, K-matrix formulation of two-particle scattering in a waveguide in the presence of one-dimensional spin-orbit coupling, Physical Review A **98**, 022708 (2018).

P. R. Johnson, D. Blume, **X. Y. Yin**, W. F. Flynn, and E. Tiesinga: Effective renormalized multi-body interactions of harmonically confined ultracold neutral bosons (vol 14, 053037, 2012). New Journal of Physics **20**, 079501 (2018), Erratum.

**Q. Guan** and D. Blume, Three-Boson Spectrum in the Presence of 1D Spin-Orbit Coupling: Efimov’s Generalized Radial Scaling Law, Physical Review X **8**, 021057 (2018).

D. Blume, M. W. C. Sze, and J. L. Bohn, Harmonically trapped four-boson system, Physical Review A **97**, 033621 (2018).

M. W. C. Sze, A. G. Sykes, D. Blume, and J. L. Bohn, Hyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates, Physical Review A **97**, 033608 (2018).

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#### 2017

**Yangqian Yan** and D. Blume, Path integral Monte Carlo ground state approach: Formalism, implementation, and applications, Journal of Physics B 50, 223001 (2017) (invited Tutorial).

**Q. Guan** and D. Blume, Analytical coupled-channel treatment of two-body scattering

in the presence of three-dimensional isotropic spin-orbit coupling, Physical Review A **95**, 020702(R) (2017).

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#### 2016

**S. E. Gharashi** and D. Blume, Broken scale invariance in time-dependent trapping potentials, Physical Review A **94**, 063639 (2016).

**Q. Guan** and D. Blume, Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies, Physical Review A **94**, 022706 (2016).

**Y. Yan** and D. Blume, Path-Integral Monte Carlo Determination of the Fourth-Order Virial Coefficient for a Unitary Two-Component Fermi Gas with Zero-Range Interactions, Phys. Rev. Lett. **116**, 230401 (2016).

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#### 2015

**Yangqian Yan** and D. Blume, Energy and structural properties of N-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator, Physical Review A **92**, 033626 (2015).

**S. E. Gharashi** and D. Blume, Tunneling dynamics of two interacting one-dimensional particles, Physical Review A **92**, 033629 (2015).

**Q. Guan** and D. Blume, Spin-structure of harmonically trapped one-dimensional atoms with spin-orbit coupling, Physical Review A **92**, 023641 (2015).

**X. Y. Yin** and D. Blume, Trapped unitary two-component Fermi gases with up to ten

particles, Physical Review A **92**, 013608 (2015).

D. Blume, Efimov physics and the three-body parameter for shallow van der Waals potentials, Few-Body Systems **56**, 859 (2015).

M. Kunitski, S. Zeller, J. Voigtsberger, A. Kalinin, L. Ph. H. Schmidt, M. Schoeffler, A. Czasch, W. Schoellkopf, R. E. Grisenti, T. Janke, D. Blume, and R. Doerner, Observation of the Efimov state of the helium trimer, Science **348**, 551 (2015). This paper got a fair bit of press coverage, including a “Search and Discovery” summary in the July 2015 issue of *Physics Today*, a *WSU News* write-up, and an article in the science section of the *Frankfurter Allgemeine Zeitung*.

**Yangqian Yan** and D. Blume, Incorporating exact two-body propagators for zero-range interactions into N-body Monte Carlo simulations, Physical Review A **91**, 043607 (2015).

**S. E. Gharashi, X. Y. Yin, Yangqian Yan**, and D. Blume, One-dimensional Fermi gas with a single impurity in a harmonic trap: Perturbative description of the upper branch, Physical Review A **91**, 013620 (2015).

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#### 2014

**X.-Y. Yin**, D. Blume, P. R. Johnson, and E. Tiesinga, Universal and non-universal effective N-body interactions for ultracold harmonically-trapped few-atom systems, Physical Review A **90**, 043631 (2014). Selected as an Editor’s Suggestion.

D. Blume and **Yangqian Yan**, Generalized Efimov scenario for heavy-light mixtures, Physical Review Letters **113**, 213201 (2014).

D. Blume, C. H. Greene, and B. D. Esry, Erratum: “Comparative study of He_{3}, Ne_{3}, and Ar_{3} using hyperspherical coordinate” [J. Chem. Phys. **113**, 2145 (2000)], J. Chem. Phys. **141**, 069901 (2014).

**Qingze Guan, X. Y. Yin, S. E. Gharashi**, and D. Blume, Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling, Journal of Physics B: At. Mol. Opt. Phys. **47**, 161001 (2014). Fast Track Communication.

**Yangqian Yan** and D. Blume, Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics, Physical Review A **90**, 013620 (2014).

**Yangqian Yan** and D. Blume, Abnormal Superfluid Fraction of Harmonically Trapped Few-Fermion Systems, Physical Review Letters **112**, 235301 (2014).

D. Blume, Three-body bound states in a harmonic waveguide with cylindrical symmetry, Physical Review A **89**, 053603 (2014). Selected as an Editor’s Suggestion.

**X. Y. Yin**, S. Gopalakrishnan, and D. Blume, Harmonically trapped two-atom systems:

Interplay of short-range s-wave interaction and spin-orbit coupling, Physical Review A **89**, 033606 (2014).

**S. E. Gharashi, X. Y. Yin**, and D. Blume, Molecular branch of a small highly elongated Fermi gas with an impurity: Full three-dimensional versus effective one-dimensional description, Physical Review A **89**, 023603 (2014).

**K. M. Daily** and D. Blume, Tunable high-temperature thermodynamics of weakly-interacting dipolar gases, Physical Review A **89**, 013606 (2014).

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#### 2013

**Yangqian Yan** and D. Blume, Harmonically trapped Fermi gas: Temperature dependence of the Tan contact, Physical Review A **88**, 023616 (2013).

**S. E. Gharashi** and D. Blume, Correlations of the Upper Branch of 1D Harmonically Trapped Two-Component Fermi Gases, Physical Review Letters **111**, 045302 (2013).

**X. Y. Yin** and D. Blume, Small two-component Fermi gases in a cubic box with periodic boundary conditions, Physical Review A **87**, 063609 (2013).

J. Mitroy, S. Bubin, W. Horiuchi, Y. Suzuki, L. Adamowicz, W. Cencek, K. Szalewicz, J. Komasa, D. Blume, and K. Varga. Theory and application of explicitly correlated Gaussians, Review of Modern Physics **85**, 693 (2013).

A. Safavi-Naini, S. T. Rittenhouse, D. Blume, and H. R. Sadeghpour, Nonuniversal bound states of two identical heavy fermions and one light particle, Physical Review A **87**, 032713 (2013).

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#### 2012

**D. Rakshit** and D. Blume, Hyperspherical explicitly correlated Gaussian approach for few-body systems with finite angular momentum, Physical Review A **86**, 062513 (2012).

D. Blume, Universal four-body bound states in heavy-light mixtures with positive scattering length, Physical Review Letters **109**, 230404 (2012).

**S. E. Gharashi, K. M. Daily**, and D. Blume, Three s-wave-interacting fermions under anisotropic harmonic confinement: Dimensional crossover of energetics and virial coefficients, Physical Review A **86**, 042702 (2012).

**K. M. Daily, D. Rakshit**, and D. Blume, Degeneracies in trapped two-component Fermi gases, Physical Review Letters **109**, 030401 (2012). Selected as an Editor’s Suggestion.

P. R. Johnson, D. Blume, **X. Y. Yin**, W. F. Flynn, and E. Tiesinga, Effective multibody interactions of harmonically confined ultracold neutral bosons, New Journal of Physics **14**, 053037 (2012).

**K. M. Daily, X. Y. Yin**, and D. Blume, Occupation numbers of the harmonically trapped few-boson system, Physical Review A **85**, 053614 (2012).

**D. Rakshit, K. M. Daily**, and D. Blume, Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient, Physical Review A **85**, 033634 (2012).

D. Blume, Few-body physics with ultracold atomic and molecular systems in traps, Reports on Progress in Physics **75**, 046401 (2012). Invited review article.

**K. M. Daily** and D. Blume, Thermodynamics of the two-component Fermi gas with unequal masses at unitarity, Physical Review A **85**, 013609 (2012).

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#### 2011

**M. Asad-uz-Zaman** and D. Blume, Modification of roton instability due to the presence of a second dipolar Bose-Einstein condensate, Physical Review A **83**, 033616 (2011).

D. Blume and **K. M. Daily**, Trapped two-component Fermi gases with up to six particles:

Energetics, structural properties, and molecular condensate fraction, C. R. Physique **12**, 86 (2011).

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#### 2010

D. Blume and **K. M. Daily**, Few-body resonances of unequal-mass systems with infinite interspecies two-body s-wave scattering length, Physical Review A **82**, 063612 (2010).

D. Blume and **K. M. Daily**, Breakdown of Universality for Unequal-Mass Fermi Gases with Infinite Scattering Length, Physical Review Letters **105**, 170403 (2010).

**M. Asad-uz-Zaman** and D. Blume, Tuning the structural and dynamical properties of a dipolar Bose-Einstein condensate: Ripples and instability islands, New Journal of Physics **12**, 065022 (2010).

**K. M. Daily** and D. Blume, Energy spectrum of harmonically trapped two-component Fermi gases: Three- and Four-Particle Problem, Physical Review A **81**, 053615 (2010).

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#### 2009

D. Blume and **K. M. Daily**, Universal relations for trapped four-fermion system with arbitrary s-wave scattering length, Physical Review A **80**, 053626 (2009).

**M. Asad-uz-Zaman** and D. Blume, Aligned dipolar Bose-Einstein condensate in a double-well potential: From cigar-shaped to pancake-shaped, Physical Review A **80**, 053622 (2009). Article was selected for the December 2009 issue of Virtual Journal of Atomic Quantum Fluids.

D. Blume and **D. Rakshit**, Excitations and effective interactions of highly elongated Fermi gas, Physical Review A **80**, 013601 (2009). Article was selected for the August 2009 issue of Virtual Journal of Atomic Quantum Fluids.

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#### 2008

**K. Kanjilal** and D. Blume, Low-energy resonances and bound states of aligned bosonic and fermionic dipoles, Physical Review A **78**, 040703(R) (2008).

D. Blume, Trapped polarized Fermi gas at unitarity, Physical Review A **78**, 013635 (2008).

D. Blume, Small mass- and trap-imbalanced two-component Fermi systems, Physical Review A **78**, 013613 (2008).

J. von Stecher, C. H. Greene, and D. Blume, Energetics and Structural Properties of Trapped

Two-Component Fermi Gases, Physical Review A **77**, 043619 (2008).

D. Blume, S. T. Rittenhouse, J. von Stecher, and C. H. Greene, Stability of inhomogeneous multicomponent Fermi gases, Physical Review A **77**, 033627 (2008).

**R. M. Kalas** and D. Blume, Dilute Bose gases interacting via power-law potentials, Physical Review A **77**, 032703 (2008).

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#### 2007

D. Blume, J. von Stecher, and C. H. Greene, Universal properties of a trapped two-component Fermi gas at unitarity, Physical Review Letters **99**, 233201 (2007).

J. von Stecher, C. H. Greene, and D. Blume, BEC-BCS crossover of a trapped two-component Fermi gas with unequal masses, Physical Review A **76**, 053613 (2007).

**R. M. Kalas** and D. Blume, Equation of state of cold atoms: A lowest-order-constrained variational study of systems with large non-s-wave scattering lengths, Physical Review A **76**, 013617 (2007).

**K. Kanjilal**, J. L. Bohn, and D. Blume, Pseudopotential treatment of two aligned dipoles under external harmonic confinement, Physical Review A **75**, 052705 (2007).

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#### 2006

**G. J. Hanna** and D. Blume, Energetics and structural properties of three-dimensional bosonic clusters near threshold, Physical Review A **74**, 063604 (2006).

**K. Kanjilal** and D. Blume, Coupled-channel pseudopotential description of the Feshbach resonance in two dimensions, Physical Review A **73**, 060701(R) (2006).

S. Ronen, D. C. E. Bortolotti, D. Blume, and J. L. Bohn, Dipolar Bose-Einstein condensates with dipole dependent scattering length, Physical Review A **74**, 033611 (2006).

D. C. E. Bortolotti, S. Ronen, J. L. Bohn, and D. Blume, Scattering Length Instability in Dipolar Bose-Einstein Condensates, Physical Review Letters **97**, 160402 (2006).

**R. M. Kalas** and D. Blume, Interaction-Induced Localization of an Impurity in a Trapped Bose Condensate, Physical Review A **73**, 043608 (2006).

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#### 2005

**K. Nho** and D. Blume, Superfluidity of Mesoscopic Bose Gases under Varying Confinements,

Physical Review Letters **95**, 193601 (2005). Article was selected for the November 14, 2005 issue of Virtual Journal of Nanoscale Science and Technology.

D. Blume, Threshold behavior of bosonic two-dimensional few-body systems, Physical Review B **72**, 094510 (2005).

J. W. Dunn, D. Blume, B. Borca, B. E. Granger, and C. H. Greene, Feshbach resonance cooling of trapped atom pairs, Physical Review A **71**, 033402 (2005).

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#### 2004

G. Tejeda, J. M. Fernandez, S. Montero, D. Blume, and J. P. Toennies, Raman spectroscopy of small para-H_{2} clusters formed in cryogenic free jet expansion, Physical Review Letters **92**, 223401 (2004). Article was selected for the June 14, 2004 issue of Virtual Journal of Nanoscale Science and Technology. Article was highlighted in Physics News Update, Number 687(2), June 4, 2004.

G. E. Astrakharchik, D. Blume, S. Giorgini, and L. P. Pitaevskii, Interacting fermions in highly elongated harmonic traps, Physical Review Letters **93**, 050402 (2004).

**K. Kanjilal** and D. Blume, Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement, Physical Review A **70**, 042709 (2004).

B. E. Granger and D. Blume, Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement, Physical Review Letters **92**, 133202 (2004).

G. E. Astrakharchik, D. Blume, S. Giorgini, and B. E. Granger, Monte Carlo study of quasi-one-dimensional Bose gases, Journal of Physics B **37**, S205 (2004).

G. E. Astrakharchik, D. Blume, S. Giorgini, and B. E. Granger, Quasi-one-dimensional Bose gases with large scattering length, Physical Review Letters **92**, 030402 (2004).

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#### 2003

B. Borca, D. Blume, and C. H. Greene, A Two-Atom Picture of Coherent Atom-Molecule

Quantum Beats, New Journal of Physics **5**, 111 (2003).

D. Blume, The few-body problem for bosons under external confinement, Laser Physics **13**, 566 (2003).

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#### 2002

D. Blume, Fermionization of a bosonic gas under highly elongated confinement: A diffusion quantum Monte Carlo study, Physical Review A **66**, 053613 (2002).

D. Blume, B. D. Esry, C. H. Greene, N. N. Klausen, and **G. J. Hanna**, Formation of atomic tritium clusters and condensates, Physical Review Letters **89**, 163402 (2002).

D. Blume and C. H. Greene, Three particles in an external trap: Nature of the complete J=0 spectrum, Physical Review A **66**, 013601 (2002).

D. Blume and C. H. Greene, Fermi pseudopotential approximation: Two particles under external confinement, Physical Review A **65**, 043613 (2002).

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#### Blume’s publications from postdoctoral work with Prof. Chris Greene at JILA/CU Boulder

D. Blume and C. H. Greene, Lowest breathing mode of bosonic helium clusters, European Physical Journal D **18**, 83 (2002).

D. Blume and C. H. Greene, Quantum corrections to the ground state energy of a

trapped Bose-Einstein condensate: A diffusion Monte Carlo calculation, Physical Review A **63**, 063601 (2001).

B. D. Esry, C. D. Lin, C. H. Greene, and D. Blume, Comment on “Efimov States for ^{4}He Trimers?”, Physical Review Letters **86**, 4189 (2001).

D. Blume and C. H. Greene, Vibrationally excited states and fragmentation geometries of Ne_{N} and Ar_{N} clusters, N=3-6, using hyperspherical coordinates, Journal of Chemical Physics **113**, 4242 (2000).

D. Blume, C. H. Greene, and B. D. Esry, Comparative study of He_{3}, Ne_{3}, and Ar_{3} using hyperspherical coordinates, Journal of Chemical Physics **113**, 2145 (2000).

D. Blume and C. H. Greene, Monte Carlo hyperspherical description of helium cluster excited states, Journal of Chemical Physics **112**, 8053 (2000).

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#### Blume’s publications from graduate work with Profs. Birgitta Whaley (UC Berkeley) and Peter Toennies (Max-Planck Institute for Fluid Dynamics, Goettingen)

Y. Kwon, P. Huang, M. V. Patel, D. Blume, and K. B. Whaley, Quantum solvation and molecular rotations in superfluid helium clusters, Journal of Chemical Physics **113**, 6469 (2000).

D. Blume and K. B. Whaley, Tunneling splittings in water trimer by projector Monte Carlo, Journal of Chemical Physics **112**, 2218 (2000).

D. Blume, M. Mladenovic, M. Lewerenz, and K. B. Whaley, Excited states of van der Waals clusters by projector Monte Carlo, with application to excitations of molecules in small 4Hen, Journal of Chemical Physics **110**, 5789 (1999).

D. Blume, M. Lewerenz, and K. B. Whaley, Excited states by quantum Monte Carlo method, Mathematics and Computers in Simulation **47**, 133 (1998).

D. Blume, M. Lewerenz, and K. B. Whaley, Quantum Monte Carlo methods for rovibrational states of molecular systems, Journal of Chemical Physics **107**, 9067 (1997).

D. Blume, M. Lewerenz, P. Niyaz, and K. B. Whaley, Excited states by quantum Monte Carlo methods: Imaginary time evolution with projection operators, Physical Review E **55**, 3664 (1997).

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#### Blume’s publication from undergraduate work with Prof. Marius Lewerenz (Max-Planck Institute for Fluid Dynamics, Goettingen, and Georg-August University, Goettingen)

D. Blume, M. Lewerenz, F. Huisken, and M. Kaloudis, Vibrational frequency shift of HF in helium clusters: Quantum simulation and experiment, Journal of Chemical Physics **105**, 8666 (1996).

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Doerte Blume, Professor of Physics

Center for Quantum Research and Technology & Homer L. Dodge Department of Physics and Astronomy; The University of Oklahoma; 440 W. Brooks Street, Norman, Oklahoma 73019; USA

doerte.blume-1 _at_ ou.edu