Spin-momentum entanglement in a Bose–Einstein condensate

Kale, Sumit Suresh; Ding, Yijue; Chen, Yong P.; Friedrich, Bretislav; Kais, Sabre

doi:10.1039/d0cp03945d

Spin-momentum entanglement in a Bose–Einstein condensate

Journal Article · Tue Oct 27 00:00:00 EDT 2020 · Physical Chemistry Chemical Physics. PCCP

DOI:https://doi.org/10.1039/d0cp03945d· OSTI ID:1852939

^[1]; Ding, Yijue ^[2]; Chen, Yong P. ^[2]; Friedrich, Bretislav ^[3]; Kais, Sabre ^[2]

Purdue Univ., West Lafayette, IN (United States); OSTI
Purdue Univ., West Lafayette, IN (United States)
Fritz Haber Institute of the Max Planck Society, Berlin (Germany)

Here, entanglement is at the core of quantum information processing and may prove essential for quantum speed-up. Inspired by both theoretical and experimental studies of spin-momentum coupling in systems of ultra-cold atoms, we investigate the entanglement between the spin and momentum degrees of freedom of an optically trapped BEC of ⁸⁷Rb atoms. We consider entanglement that arises due to the coupling of these degrees of freedom induced by Raman and radio-frequency fields and examine its dependence on the coupling parameters by evaluating von Neumann entropy as well as concurrence as measures of the entanglement attained. Our calculations reveal that under proper experimental conditions significant spin-momentum entanglement can be obtained, with von Neumann entropy of 80% of the maximum attainable value. Our analysis sheds some light on the prospects of using BECs for quantum information applications.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019215

OSTI ID:: 1852939

Alternate ID(s):: OSTI ID: 1708914

Journal Information:: Physical Chemistry Chemical Physics. PCCP, Journal Name: Physical Chemistry Chemical Physics. PCCP Journal Issue: 44 Vol. 22; ISSN 1463-9076

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

References (35)

The Importance of Vibronic Coupling for Efficient Reverse Intersystem Crossing in Thermally Activated Delayed Fluorescence Molecules Gibson, Jamie; Monkman, Andrew P.; Penfold, Thomas J. ChemPhysChem, Vol. 17, Issue 19 https://doi.org/10.1002/cphc.201600662	journal	July 2016
Die gegenw�rtige Situation in der Quantenmechanik Schr�dinger, E. Die Naturwissenschaften, Vol. 23, Issue 49 https://doi.org/10.1007/BF01491914	journal	December 1935
Spin–orbit-coupled Bose–Einstein condensates Lin, Y. -J.; Jiménez-García, K.; Spielman, I. B. Nature, Vol. 471, Issue 7336 https://doi.org/10.1038/nature09887	journal	March 2011
Measuring entanglement entropy in a quantum many-body system Islam, Rajibul; Ma, Ruichao; Preiss, Philipp M. Nature, Vol. 528, Issue 7580 https://doi.org/10.1038/nature15750	journal	December 2015
Coherent manipulation of Bose–Einstein condensates with state-dependent microwave potentials on an atom chip Böhi, Pascal; Riedel, Max F.; Hoffrogge, Johannes Nature Physics, Vol. 5, Issue 8 https://doi.org/10.1038/nphys1329	journal	July 2009
Identifying topological order by entanglement entropy Jiang, Hong-Chen; Wang, Zhenghan; Balents, Leon Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2465	journal	November 2012
Cold quantum-controlled rotationally inelastic scattering of HD with H2 and D2 reveals collisional partner reorientation Perreault, William E.; Mukherjee, Nandini; Zare, Richard N. Nature Chemistry, Vol. 10, Issue 5 https://doi.org/10.1038/s41557-018-0028-5	journal	April 2018
Entanglement-assisted coherent control in nonreactive diatom–diatom scattering Gong, Jiangbin; Shapiro, Moshe; Brumer, Paul The Journal of Chemical Physics, Vol. 118, Issue 6 https://doi.org/10.1063/1.1535428	journal	January 2003
Entanglement of polar symmetric top molecules as candidate qubits Wei, Qi; Kais, Sabre; Friedrich, Bretislav The Journal of Chemical Physics, Vol. 135, Issue 15 https://doi.org/10.1063/1.3649949	journal	October 2011
Implementation of quantum logic gates using polar molecules in pendular states Zhu, Jing; Kais, Sabre; Wei, Qi The Journal of Chemical Physics, Vol. 138, Issue 2 https://doi.org/10.1063/1.4774058	journal	January 2013
Prospects for quantum computing with an array of ultracold polar paramagnetic molecules Karra, Mallikarjun; Sharma, Ketan; Friedrich, Bretislav The Journal of Chemical Physics, Vol. 144, Issue 9 https://doi.org/10.1063/1.4942928	journal	March 2016
Entanglement and electron correlation in quantum chemistry calculations Huang, Z.; Wang, H.; Kais, S. Journal of Modern Optics, Vol. 53, Issue 16-17 https://doi.org/10.1080/09500340600955674	journal	November 2006
Synthetic gauge potentials for ultracold neutral atoms Lin, Yu-Ju; Spielman, I. B. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 18 https://doi.org/10.1088/0953-4075/49/18/183001	journal	August 2016
A note on invariants and entanglements Albeverio, Sergio; Fei, Shao-Ming Journal of Optics B: Quantum and Semiclassical Optics, Vol. 3, Issue 4 https://doi.org/10.1088/1464-4266/3/4/305	journal	July 2001
Enhancing von Neumann entropy by chaos in spin–orbit entanglement Liu, Chen-Rong; Yu, Pei; Chen, Xian-Zhang Chinese Physics B, Vol. 28, Issue 10 https://doi.org/10.1088/1674-1056/ab3dff	journal	September 2019
Entanglement entropy in extended quantum systems Calabrese, Pasquale; Cardy, John; Doyon, Benjamin Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8121/42/50/500301	journal	December 2009
Concentrating partial entanglement by local operations Bennett, Charles H.; Bernstein, Herbert J.; Popescu, Sandu Physical Review A, Vol. 53, Issue 4 https://doi.org/10.1103/PhysRevA.53.2046	journal	April 1996
Universal state inversion and concurrence in arbitrary dimensions Rungta, Pranaw; Bužek, V.; Caves, Carlton M. Physical Review A, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevA.64.042315	journal	September 2001
Macroscopic quantum computation using Bose-Einstein condensates Byrnes, Tim; Wen, Kai; Yamamoto, Yoshihisa Physical Review A, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevA.85.040306	journal	April 2012
von Neumann entropy spectra and entangled excitations in spin-orbital models You, Wen-Long; Oleś, Andrzej M.; Horsch, Peter Physical Review B, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevB.86.094412	journal	September 2012
Sensitivity and entanglement in the avian chemical compass Zhang, Yiteng; Berman, Gennady P.; Kais, Sabre Physical Review E, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevE.90.042707	journal	October 2014
Bose-Einstein Condensate in a Uniform Light-Induced Vector Potential Lin, Y. -J.; Compton, R.; Perry, A. Physical Review Letters, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevLett.102.130401	journal	March 2009
Peierls Substitution in an Engineered Lattice Potential Jiménez-García, K.; LeBlanc, L. J.; Williams, R. A. Physical Review Letters, Vol. 108, Issue 22 https://doi.org/10.1103/PhysRevLett.108.225303	journal	May 2012
Observation of Quantum Interference and Coherent Control in a Photochemical Reaction Blasing, David B.; Pérez-Ríos, Jesús; Yan, Yangqian Physical Review Letters, Vol. 121, Issue 7 https://doi.org/10.1103/PhysRevLett.121.073202	journal	August 2018
Quantum Computations with Cold Trapped Ions Cirac, J. I.; Zoller, P. Physical Review Letters, Vol. 74, Issue 20 https://doi.org/10.1103/PhysRevLett.74.4091	journal	May 1995
Entanglement of Formation of an Arbitrary State of Two Qubits Wootters, William K. Physical Review Letters, Vol. 80, Issue 10 https://doi.org/10.1103/PhysRevLett.80.2245	journal	March 1998
Coherent Control of Resonance-Mediated Reactions: F + HD Zeman, Vlado; Shapiro, Moshe; Brumer, Paul Physical Review Letters, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevLett.92.133204	journal	April 2004
On the Einstein Podolsky Rosen paradox Bell, J. S. Physics Physique Fizika, Vol. 1, Issue 3 https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195	journal	November 1964
Quantum entanglement Horodecki, Ryszard; Horodecki, Paweł; Horodecki, Michał Reviews of Modern Physics, Vol. 81, Issue 2 https://doi.org/10.1103/RevModPhys.81.865	journal	June 2009
Entanglement classifier in chemical reactions Li, Junxu; Kais, Sabre Science Advances, Vol. 5, Issue 8 https://doi.org/10.1126/sciadv.aax5283	journal	August 2019
Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor Anderson, M. H.; Ensher, J. R.; Matthews, M. R. Science, Vol. 269, Issue 5221 https://doi.org/10.1126/science.269.5221.198	journal	July 1995
Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in Bose-Einstein condensates Fadel, Matteo; Zibold, Tilman; Décamps, Boris Science, Vol. 360, Issue 6387 https://doi.org/10.1126/science.aao1850	journal	April 2018
Entanglement between two spatially separated atomic modes Lange, Karsten; Peise, Jan; Lücke, Bernd Science, Vol. 360, Issue 6387 https://doi.org/10.1126/science.aao2035	journal	April 2018
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer Shor, Peter W. SIAM Journal on Computing, Vol. 26, Issue 5 https://doi.org/10.1137/S0097539795293172	journal	October 1997
Characteristics of information entropy in spin–orbit coupled spin-1 Bose–Einstein condensates Zhao, Qiang; Mi, Bin-Zhou; Li, Yushan International Journal of Modern Physics B, Vol. 33, Issue 12 https://doi.org/10.1142/S0217979219501194	journal	May 2019

Similar Records

Quantum entangled ground states of two spinor Bose-Einstein condensates

Journal Article · Wed Dec 14 23:00:00 EST 2011 · Physical Review. A · OSTI ID:22095685

Entanglement and localization of a two-mode Bose-Einstein condensate

Journal Article · Sun Feb 14 23:00:00 EST 2010 · Annals of Physics (New York) · OSTI ID:21336091

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Spin-momentum entanglement in a Bose–Einstein condensate

Citation Formats

References (35)

Similar Records

Related Subjects