Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Generalized cold-atom simulators for vacuum decay

Alexander C. Jenkins1,*, Ian G. Moss2, Thomas P. Billam3, Zoran Hadzibabic4, Hiranya V. Peiris5,6, and Andrew Pontzen7,1

  • 1Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
  • 2School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom
  • 3Joint Quantum Centre (JQC) Durham–Newcastle, School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom
  • 4Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
  • 5Institute of Astronomy and Kavli Institute for Cosmology, University of Cambridge, Madingley Road, Cambridge CB3 0HA, United Kingdom
  • 6The Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm University, AlbaNova, Stockholm SE-106 91, Sweden
  • 7Institute for Computational Cosmology, Department of Physics, Durham University, South Road, Durham DH1 3LE, United Kingdom

  • *Contact author: alex.jenkins@ucl.ac.uk

Phys. Rev. A 110, L031301 – Published 24 September, 2024

DOI: https://doi.org/10.1103/PhysRevA.110.L031301

Abstract

Cold-atom analog experiments are a promising new tool for studying relativistic vacuum decay, enabling one to empirically probe early-Universe theories in the laboratory. However, existing proposals place stringent requirements on the atomic scattering lengths that are challenging to realize experimentally. Here we eliminate these restrictions and show that any stable mixture between two states of a bosonic isotope can be used as a faithful relativistic analog. This greatly expands the landscape of suitable experiments, and will expedite efforts to study vacuum decay with cold atoms.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (58)

  1. S. Coleman, Erratum: Fate of the false vacuum: semiclassical theory, Phys. Rev. D 15, 2929 (1977), Phys. Rev. D 16, 1248(E) (1977).
  2. C. G. Callan, Jr. and S. R. Coleman, The fate of the false vacuum. 2. first quantum corrections, Phys. Rev. D 16, 1762 (1977).
  3. S. R. Coleman and F. De Luccia, Gravitational effects on and of vacuum decay, Phys. Rev. D 21, 3305 (1980).
  4. A. D. Linde, Decay of the false vacuum at finite temperature, Nucl. Phys. B 216, 421 (1983); 223, 544(E) (1983).
  5. E. J. Weinberg, Classical Solutions in Quantum Field Theory: Solitons and Instantons in High Energy Physics, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 2012).
  6. A. H. Guth, Eternal inflation and its implications, J. Phys. A: Math. Gen. 40, 6811 (2007).
  7. A. Aguirre, Eternal Inflation, past and future, arXiv:0712.0571.
  8. A. Aguirre, M. C. Johnson, and A. Shomer, Towards observable signatures of other bubble universes, Phys. Rev. D 76, 063509 (2007).
  9. S. M. Feeney, M. C. Johnson, D. J. Mortlock, and H. V. Peiris, First observational tests of eternal inflation, Phys. Rev. Lett. 107, 071301 (2011).
  10. S. M. Feeney, M. C. Johnson, D. J. Mortlock, and H. V. Peiris, First observational tests of eternal inflation: Analysis methods and wmap 7-year results, Phys. Rev. D 84, 043507 (2011).
  11. J. Ellis, J. R. Espinosa, G. F. Giudice, A. Hoecker, and A. Riotto, The probable fate of the standard model, Phys. Lett. B 679, 369 (2009).
  12. G. Degrassi, S. Di Vita, J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, and A. Strumia, Higgs mass and vacuum stability in the Standard Model at NNLO, J. High Energy Phys. 08 (2012) 098.
  13. D. Buttazzo, G. Degrassi, P. P. Giardino, G. F. Giudice, F. Sala, A. Salvio, and A. Strumia, Investigating the near-criticality of the Higgs boson, J. High Energy Phys. 12 (2013) 089.
  14. D. Pirvu, J. Braden, and M. C. Johnson, Bubble clustering in cosmological first order phase transitions, Phys. Rev. D 105, 043510 (2022).
  15. B. Opanchuk, R. Polkinghorne, O. Fialko, J. Brand, and P. D. Drummond, Quantum simulations of the early universe, Ann. Phys. 525, 866 (2013).
  16. O. Fialko, B. Opanchuk, A. I. Sidorov, P. D. Drummond, and J. Brand, Fate of the false vacuum: towards realization with ultra-cold atoms, Europhys. Lett. 110, 56001 (2015).
  17. O. Fialko, B. Opanchuk, A. I. Sidorov, P. D. Drummond, and J. Brand, The universe on a table top: engineering quantum decay of a relativistic scalar field from a metastable vacuum, J. Phys. B: At., Mol. Opt. Phys. 50, 024003 (2017).
  18. J. Braden, M. C. Johnson, H. V. Peiris, and S. Weinfurtner, Towards the cold atom analog false vacuum, J. High Energy Phys. 07 (2018) 014.
  19. T. P. Billam, R. Gregory, F. Michel, and I. G. Moss, Simulating seeded vacuum decay in a cold atom system, Phys. Rev. D 100, 065016 (2019).
  20. J. Braden, M. C. Johnson, H. V. Peiris, A. Pontzen, and S. Weinfurtner, Nonlinear Dynamics of the Cold Atom Analog False Vacuum, J. High Energy Phys. 10 (2019) 174.
  21. T. P. Billam, K. Brown, and I. G. Moss, Simulating cosmological supercooling with a cold atom system, Phys. Rev. A 102, 043324 (2020).
  22. K. L. Ng, B. Opanchuk, M. Thenabadu, M. Reid, and P. D. Drummond, The fate of the false vacuum: Finite temperature, entropy and topological phase in quantum simulations of the early universe, PRX Quantum 2, 010350 (2021).
  23. T. P. Billam, K. Brown, A. J. Groszek, and I. G. Moss, Simulating cosmological supercooling with a cold atom system. II. Thermal damping and parametric instability, Phys. Rev. A 104, 053309 (2021).
  24. T. P. Billam, K. Brown, and I. G. Moss, False-vacuum decay in an ultracold spin-1 Bose gas, Phys. Rev. A 105, L041301 (2022).
  25. T. P. Billam, K. Brown, and I. G. Moss, Bubble nucleation in a cold spin 1 gas, New J. Phys. 25, 043028 (2023).
  26. A. C. Jenkins, J. Braden, H. V. Peiris, A. Pontzen, M. C. Johnson, and S. Weinfurtner, Analog vacuum decay from vacuum initial conditions, Phys. Rev. D 109, 023506 (2024).
  27. J. Struck, M. Weinberg, C. Ölschläger, P. Windpassinger, J. Simonet, K. Sengstock, R. Höppner, P. Hauke, A. Eckardt, M. Lewenstein, and L. Mathey, Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields, Nat. Phys. 9, 738 (2013).
  28. D. L. Campbell, R. M. Price, A. Putra, A. Valdés-Curiel, D. Trypogeorgos, and I. B. Spielman, Magnetic phases of spin-1 spin–orbit-coupled Bose gases, Nat. Commun. 7, 10897 (2016).
  29. A. Trenkwalder, G. Spagnolli, G. Semeghini, S. Coop, M. Landini, P. Castilho, L. Pezzè, G. Modugno, M. Inguscio, A. Smerzi, and M. Fattori, Quantum phase transitions with parity-symmetry breaking and hysteresis, Nat. Phys. 12, 826 (2016).
  30. L.-Y. Qiu, H.-Y. Liang, Y.-B. Yang, H.-X. Yang, T. Tian, Y. Xu, and L.-M. Duan, Observation of generalized Kibble-Zurek mechanism across a first-order quantum phase transition in a spinor condensate, Sci. Adv. 6, eaba7292 (2020).
  31. B. Song, S. Dutta, S. Bhave, Jr-Chiun Yu, E. Carter, N. Cooper, and U. Schneider, Realizing discontinuous quantum phase transitions in a strongly correlated driven optical lattice, Nat. Phys. 18, 259 (2022).
  32. R. Cominotti, A. Berti, C. Dulin, C. Rogora, G. Lamporesi, I. Carusotto, A. Recati, A. Zenesini, and G. Ferrari, Ferromagnetism in an extended coherently coupled atomic superfluid, Phys. Rev. X 13, 021037 (2023).
  33. A. Zenesini, A. Berti, R. Cominotti, C. Rogora, I. G. Moss, T. P. Billam, I. Carusotto, G. Lamporesi, A. Recati, and G. Ferrari, False vacuum decay via bubble formation in ferromagnetic superfluids, Nat. Phys. 20, 558 (2024).
  34. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82, 1225 (2010).
  35. M. Lysebo and L. Veseth, Feshbach resonances and transition rates for cold homonuclear collisions between K39 and K41 atoms, Phys. Rev. A 81, 032702 (2010).
  36. A. L. Gaunt, T. F. Schmidutz, I. Gotlibovych, R. P. Smith, and Z. Hadzibabic, Bose-Einstein condensation of atoms in a uniform potential, Phys. Rev. Lett. 110, 200406 (2013).
  37. N. Navon, R. P. Smith, and Z. Hadzibabic, Quantum gases in optical boxes, Nat. Phys. 17, 1334 (2021).
  38. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, 2nd ed. (Cambridge University Press, Cambridge, 2008).
  39. N. Goldman and J. Dalibard, Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields, Phys. Rev. X 4, 031027 (2014); 5, 029902(E) (2015).
  40. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevA.110.L031301 for details regarding the effective Hamiltonian, vacuum states, relativistic equations of motion, vacuum fluctuations, and Euclidean action.
  41. U. R. Fischer and R. Schützhold, Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates, Phys. Rev. A 70, 063615 (2004).
  42. M. Visser and S. Weinfurtner, Massive phonon modes from a BEC-based analog model, arXiv:cond-mat/0409639.
  43. M. Visser and S. Weinfurtner, Massive Klein-Gordon equation from a BEC-based analogue spacetime, Phys. Rev. D 72, 044020 (2005).
  44. S. Weinfurtner, S. Liberati, and M. Visser, Analogue spacetime based on 2-component Bose-Einstein condensates, Lect. Notes Phys. 718, 115 (2007).
  45. 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).
  46. 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 in atomic mixtures, Phys. Rev. Lett. 120, 235301 (2018).
  47. P. Cheiney, C. R. Cabrera, J. Sanz, B. Naylor, L. Tanzi, and L. Tarruell, Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates, Phys. Rev. Lett. 120, 135301 (2018).
  48. G. Ferioli, G. Semeghini, L. Masi, G. Giusti, G. Modugno, M. Inguscio, A. Gallemí, A. Recati, and M. Fattori, Collisions of self-bound quantum droplets, Phys. Rev. Lett. 122, 090401 (2019).
  49. P. B. Blakie, A. S. Bradley, M. J. Davis, R. J. Ballagh, and C. W. Gardiner, Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques, Adv. Phys. 57, 363 (2008).
  50. J. Braden, M. C. Johnson, H. V. Peiris, A. Pontzen, and S. Weinfurtner, New semiclassical picture of vacuum decay, Phys. Rev. Lett. 123, 031601 (2019); 129, 059901(E) (2022).
  51. D. Pîrvu, M. C. Johnson, and S. Sibiryakov, Bubble velocities and oscillon precursors in first order phase transitions,arXiv:2312.13364.
  52. L. Batini, A. Chatrchyan, and J. Berges, Real-time dynamics of false vacuum decay, Phys. Rev. D 109, 023502 (2024).
  53. D. Pîrvu, A. Shkerin, and S. Sibiryakov, Thermal false vacuum decay is not what it seems, arXiv:2407.06263.
  54. D. Pîrvu, A. Shkerin, and S. Sibiryakov, Thermal false vacuum decay in (1+1)-dimensions: Evidence for non-equilibrium dynamics, arXiv:2408.06411.
  55. J. Braden, M. C. Johnson, H. V. Peiris, A. Pontzen, and S. Weinfurtner, Mass renormalization in lattice simulations of false vacuum decay, Phys. Rev. D 107, 083509 (2023).
  56. C. R. Harris, K. J. Millman, S. J. van der Walt, R. Gommers, P. Virtanen, D. Cournapeau, E. Wieser, J. Taylor, S. Berg, N. J. Smith, R. Kern, M. Picus, S. Hoyer, M. H. van Kerkwijk, M. Brett, A. Haldane, J. F. del Río, M. Wiebe, P. Peterson, P. Gérard-Marchant et al., Array programming with NumPy, Nature (London) 585, 357 (2020).
  57. P. Virtanen, R. Gommers, T. E. Oliphant, M. Haberland, T. Reddy, D. Cournapeau, E. Burovski, P. Peterson, W. Weckesser, J. Bright, S. J. van der Walt, M. Brett, J. Wilson, K. J. Millman, N. Mayorov, A. R. J. Nelson, E. Jones, R. Kern, E. Larson, C. J. Carey et al., SciPy 1.0: Fundamental algorithms for scientific computing in python, Nat. Methods 17, 261 (2020).
  58. J. D. Hunter, Matplotlib: A 2D Graphics Environment, Comput. Sci. Eng. 9, 90 (2007).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation