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  • Letter
  • Open Access

Thermally induced local imbalance in repulsive binary Bose mixtures

G. Pascual1, G. Spada2, S. Pilati3,4, S. Giorgini2, and J. Boronat1

  • 1Departament de Física, Universitat Politècnica de Catalunya, Campus Nord B4-B5, E-08034 Barcelona, Spain
  • 2Pitaevskii BEC Center, Dipartimento di Fisica and CNR-INO, Università di Trento, 38123 Povo, Trento, Italy
  • 3School of Science and Technology, Physics Division, Università di Camerino, 62032 Camerino, Italy
  • 4INFN-Sezione di Perugia, 06123 Perugia, Italy

Phys. Rev. Research 5, L032041 – Published 20 September, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L032041

Abstract

We study repulsive two-component Bose mixtures with equal populations and confined in a finite-size box through path-integral Monte Carlo simulations. For different values of the s-wave scattering length of the interspecies potential, we calculate the local population imbalance in a region of fixed volume inside the box at different temperatures. We find two different behaviors: For phase-separated states at T=0, thermal effects induce a diffusion process which reduces the local imbalance, whereas for miscible states at T=0, a maximum in the local population imbalance appears at a certain temperature, below the critical one. We show that this intriguing behavior is strongly related to the bunching effect associated with the Bose-Einstein statistics of the particles in the mixture and to an unexpected behavior of the cross pair distribution function.

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References (38)

  1. C. J. Myatt, E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, Production of Two Overlapping Bose-Einstein Condensates by Sympathetic Cooling, Phys. Rev. Lett. 78, 586 (1997).
  2. D. M. Stamper-Kurn, M. R. Andrews, A. P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, and W. Ketterle, Optical Confinement of a Bose-Einstein Condensate, Phys. Rev. Lett. 80, 2027 (1998).
  3. J. Stenger, S. Inouye, D. M. Stamper-Kurn, H.-J. Miesner, A. P. Chikkatur, and W. Ketterle, Spin domains in ground-state Bose–Einstein condensates, Nature (London) 396, 345 (1998).
  4. G. Modugno, M. Modugno, F. Riboli, G. Roati, and M. Inguscio, Two Atomic Species Superfluid, Phys. Rev. Lett. 89, 190404 (2002).
  5. G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, and M. Inguscio, Double Species Bose-Einstein Condensate with Tunable Interspecies Interactions, Phys. Rev. Lett. 100, 210402 (2008).
  6. C. Ebner and D. O. Edwards, The low temperature thermodynamic properties of superfluid solutions of He3 in He4, Phys. Rep. 2, 77 (1970).
  7. A. Fabrocini and A. Polls, Variational study of He3−He4 mixture, Phys. Rev. B 25, 4533 (1982).
  8. T. Chakraborty, Variational theory of binary boson mixture at T=0 K, Phys. Rev. B 25, 3177 (1982).
  9. D. S. Petrov, Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture, Phys. Rev. Lett. 115, 155302 (2015).
  10. C. R. Cabrera, L. Tanzi, J. Sanz, B. Naylor, P. Thomas, P. Cheiney, and L. Tarruell, Quantum liquid droplets in a mixture of Bose-Einstein condensates, Science 359, 301 (2018).
  11. G. Semeghini, G. Ferioli, L. Masi, C. Mazzinghi, L. Wolswijk, F. Minardi, M. Modugno, G. Modugno, M. Inguscio, and M. Fattori, Self-Bound Quantum Droplets of Atomic Mixtures in Free Space, Phys. Rev. Lett. 120, 235301 (2018).
  12. B. D. Esry, C. H. Greene, J. P. Burke, Jr., and J. L. Bohn, Hartree-Fock Theory for Double Condensates, Phys. Rev. Lett. 78, 3594 (1997).
  13. H. Pu and N. P. Bigelow, Properties of Two-Species Bose Condensates, Phys. Rev. Lett. 80, 1130 (1998).
  14. P. Ao and S. T. Chui, Binary Bose-Einstein condensate mixtures in weakly and strongly segregated phases, Phys. Rev. A 58, 4836 (1998).
  15. E. Timmermans, Phase Separation of Bose-Einstein Condensates, Phys. Rev. Lett. 81, 5718 (1998).
  16. M. Trippenbach, K. Góral, K. Rzazewski, B. Malomed, and Y. B. Band, Structure of binary Bose-Einstein condensates, J. Phys. B: At., Mol. Opt. Phys. 33, 4017 (2000).
  17. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2001).
  18. D. J. McCarron, H. W. Cho, D. L. Jenkin, M. P. Köppinger, and S. L. Cornish, Dual-species Bose-Einstein condensate of Rb87 and Cs133, Phys. Rev. A 84, 011603(R) (2011).
  19. L. Wacker, N. B. Jørgensen, D. Birkmose, R. Horchani, W. Ertmer, C. Klempt, N. Winter, J. Sherson, and J. J. Arlt, Tunable dual-species Bose-Einstein condensates of K39 and Rb87, Phys. Rev. A 92, 053602 (2015).
  20. F. Wang, X. Li, D. Xiong, and D. Wang, A double species Na23 and Rb87 Bose–Einstein condensate with tunable miscibility via an interspecies Feshbach resonance, J. Phys. B: At., Mol. Opt. Phys. 49, 015302 (2015).
  21. K. L. Lee, N. B. Jørgensen, L. J. Wacker, M. G. Skou, K. T. Skalmstang, J. J. Arlt, and N. P. Proukakis, Time-of-flight expansion of binary Bose–Einstein condensates at finite temperature, New J. Phys. 20, 053004 (2018).
  22. G. Spada, L. Parisi, G. Pascual, N. G. Parker, T. P. Billam, S. Pilati, J. Boronat, and S. Giorgini, Phase separation in binary Bose mixtures at finite temperature, arXiv:2211.09574.
  23. M. Ota, S. Giorgini, and S. Stringari, Magnetic Phase Transition in a Mixture of Two Interacting Superfluid Bose Gases at Finite Temperature, Phys. Rev. Lett. 123, 075301 (2019).
  24. M. Ota and S. Giorgini, Thermodynamics of dilute Bose gases: Beyond mean-field theory for binary mixtures of Bose-Einstein condensates, Phys. Rev. A 102, 063303 (2020).
  25. A. Rakhimov, T. Abdurakhmonov, Z. Narzikulov, and V. I. Yukalov, Self-consistent theory of a homogeneous binary Bose mixture with strong repulsive interspecies interaction, Phys. Rev. A 106, 033301 (2022).
  26. N. Navon, R. Smith, and Z. Hadzibabic, Quantum gases in optical boxes, Nat. Phys. 17, 1334 (2021).
  27. S. Pilati, K. Sakkos, J. Boronat, J. Casulleras, and S. Giorgini, Equation of state of an interacting Bose gas at finite temperature: A path-integral Monte Carlo study, Phys. Rev. A 74, 043621 (2006).
  28. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Nonrelativistic Theory) (Pergamon, Oxford, 1977), p. 550.
  29. S. Giorgini, J. Boronat, and J. Casulleras, Ground state of a homogeneous Bose gas: A diffusion Monte Carlo calculation, Phys. Rev. A 60, 5129 (1999).
  30. D. M. Ceperley, Path integrals in the theory of condensed helium, Rev. Mod. Phys. 67, 279 (1995).
  31. S. A. Chin and C. R. Chen, Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials, J. Chem. Phys. 117, 1409 (2002).
  32. K. Sakkos, J. Casulleras, and J. Boronat, High order Chin actions in path integral Monte Carlo, J. Chem. Phys. 130, 204109 (2009).
  33. M. Boninsegni, N. V. Prokof'ev, and B. V. Svistunov, Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations, Phys. Rev. E 74, 036701 (2006).
  34. G. Pascual and J. Boronat, Quasiparticle Nature of the Bose Polaron at Finite Temperature, Phys. Rev. Lett. 127, 205301 (2021).
  35. A. Roy and D. Angom, Thermal suppression of phase separation in condensate mixtures, Phys. Rev. A 92, 011601(R) (2015).
  36. H. Ma and T. Pang, Condensate-profile asymmetry of a boson mixture in a disk-shaped harmonic trap, Phys. Rev. A 70, 063606 (2004).
  37. P. Jain and M. Boninsegni, Quantum demixing in binary mixtures of dipolar bosons, Phys. Rev. A 83, 023602 (2011).
  38. C.-L. Hung, X. Zhang, L.-C. Ha, S.-K. Tung, N. Gemelke, and C. Chin, Extracting density–density correlations from in situ images of atomic quantum gases, New J. Phys. 13, 075019 (2011).

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