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Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model (2211.11422v3)

Published 21 Nov 2022 in cond-mat.quant-gas, cond-mat.supr-con, and quant-ph

Abstract: The spontaneous symmetry breaking of a continuous symmetry in complex field theory at the exceptional point of the parameter space is known to exhibit interesting phenomena, such as the breakdown of a Higgs mechanism. In this work, we derive the complex Ginzburg-Landau model from a non-Hermitian two-band BCS model via path integral and investigate its spontaneous symmetry breaking. We find that analog to the Higgs mechanism, the Meissner effect of the complex Ginzburg-Landau model also breaks down at the exceptional point while the gap parameters stay finite.

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References (41)
  1. Tosio Kato. Perturbation theory for linear operators, volume 132. Springer Science & Business Media, 2013.
  2. Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories. Nuclear Physics B, 950:114834, 2020.
  3. Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory. The European Physical Journal Plus, 137(6):1–15, 2022.
  4. Real spectra in non-Hermitian Hamiltonians having PT-symmetry. Physical Review Letters, 80(24):5243, 1998.
  5. Light stops at exceptional points. Physical Review Letters, 120(1):013901, 2018.
  6. The large N behaviour of the Lipkin model and exceptional points. Journal of Physics A: Mathematical and General, 38(9):1843, 2005.
  7. Theory of non-Hermitian fermionic superfluidity with a complex-valued interaction. Physical Review Letters, 123(12):123601, 2019.
  8. Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser. Physical Review Letters, 122(18):185301, 2019.
  9. WD Heiss. The physics of exceptional points. Journal of Physics A: Mathematical and Theoretical, 45(44):444016, 2012.
  10. Lieb-liniger model of a dissipation-induced tonks-girardeau gas. Physical Review A, 79(2):023614, 2009.
  11. Quantum critical behavior influenced by measurement backaction in ultracold gases. Physical Review A, 94(5):053615, 2016.
  12. Non-Hermitian Kondo effect in ultracold alkaline-earth atoms. Physical Review Letters, 121(20):203001, 2018.
  13. Kondo effect in a PT-symmetric non-Hermitian Hamiltonian. Physical Review B, 98(8):085126, 2018.
  14. Atomic three-body loss as a dynamical three-body interaction. Physical Review Letters, 102(4):040402, 2009.
  15. Phase diagram and vortex properties of a PT-symmetric non-Hermitian two-component superfluid. Physical Review D, 104(5):056024, 2021.
  16. Lindblad master equation approach to superconductivity in open quantum systems. Journal of Physics A: mathematical and theoretical, 44(46):462001, 2011.
  17. Theory of superconductivity with non-Hermitian and parity-time reversal symmetric Cooper pairing symmetry. Physical Review B, 97(1):014512, 2018.
  18. Atomic color superfluid via three-body loss. Physical Review Letters, 103(24):240401, 2009.
  19. Dissipation-induced hard-core boson gas in an optical lattice. New Journal of Physics, 11(1):013053, 2009.
  20. Non-Hermitian topological theory of finite-lifetime quasiparticles: prediction of bulk Fermi arc due to exceptional point. arXiv preprint arXiv:1708.05841, 2017.
  21. Critical fluctuations at a many-body exceptional point. Physical Review Research, 2(3):033018, 2020.
  22. The electromagnetic equations of the supraconductor. Proceedings of the Royal Society of London. Series A-Mathematical and Physical Sciences, 149(866):71–88, 1935.
  23. Theory of superconductivity. Physical Review, 108(5):1175, 1957.
  24. Philip D Mannheim. Goldstone bosons and the Englert-Brout-Higgs mechanism in non-Hermitian theories. Physical Review D, 99(4):045006, 2019.
  25. Completely positive dynamical semigroups of N𝑁Nitalic_N-level systems. Journal of Mathematical Physics, 17(5):821–825, 1976.
  26. Goran Lindblad. On the generators of quantum dynamical semigroups. Communications in Mathematical Physics, 48(2):119–130, 1976.
  27. Symmetries and conservation laws in non-Hermitian field theories. Physical Review D, 96(6):065027, 2017.
  28. Bardeen-Cooper-Schrieffer theory of superconductivity in the case of overlapping bands. Physical Review Letters, 3(12):552, 1959.
  29. Collective excitations and nonequilibrium phase transition in dissipative fermionic superfluids. Physical Review Letters, 127(5):055301, 2021.
  30. Dc transport in a dissipative superconducting quantum point contact. arXiv preprint arXiv:2304.00928, 2023.
  31. Modeling particle loss in open systems using keldysh path integral and second order cumulant expansion. arXiv preprint arXiv:2305.13090, 2023.
  32. The theory of open quantum systems. Oxford University Press on Demand, 2002.
  33. Quantum state tomography across the exceptional point in a single dissipative qubit. Nature Physics, 15(12):1232–1236, 2019.
  34. Weakly interacting bose gas with two-body losses. arXiv preprint arXiv:2209.10427, 2022.
  35. PT-symmetric non-Hermitian quantum many-body system using ultracold atoms in an optical lattice with controlled dissipation. Progress of Theoretical and Experimental Physics, 2020(12):12A110, 2020.
  36. Observation of the meissner effect with ultracold atoms in bosonic ladders. arXiv preprint arXiv:1402.0819, 2014.
  37. Meissner effect in superconducting microtraps. Physical review letters, 101(18):183006, 2008.
  38. Superconductivity of metals and alloys. CRC Press, 2018.
  39. Emergent chern-simons interactions in 3+ 1 dimensions. arXiv preprint arXiv:2309.10025, 2023.
  40. Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories. Physical Review D, 98(4):045001, 2018.
  41. ’t Hooft-Polyakov monopoles in non-Hermitian quantum field theory. Physics Letters B, 807:135583, 2020.
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