Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy

• URL: http://arxiv.org/abs/2412.08305v1
• Date: Wed, 11 Dec 2024 11:33:29 GMT
• Title: Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy
• Authors: Tian Ye, Yan-Zhi Wang, Xiang-You Chen, Qing-Hu Chen, Hai-Qing Lin,
• Abstract summary: Superradiant phase transition (SRPT) is prohibited in the paradigmatic quantum Rabi model.<n>We show two distinct types of SRPTs emerging from the normal phase in the anisotropic quantum Rabi model.<n>Work may open a new avenue for observing SRPTs in their intrinsic form without altering the $mathbfA$-square term.
• Score: 30.342686040430962
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Although the superradiant phase transition (SRPT) is prohibited in the paradigmatic quantum Rabi model due to the no-go theorem caused by the $\mathbf{A}$-square term, we demonstrate two distinct types of SRPTs emerging from the normal phase in the anisotropic quantum Rabi model. A discontinuous phase transition between the two types of superradiant phases also emerges in the presence of a strong $\mathbf{A}$-square term. Additionally, a rich phase diagram featuring a triple point, which connects first- and second-order phase transitions, is derived analytically and confirmed through numerical diagonalization at large effective system sizes. Finally, distinct critical behavior at the triple point is revealed and contrasted with that of a single continuous SRPT. This work may open a new avenue for observing SRPTs in their intrinsic form without altering the $\mathbf{A}$-square term, while also offering a practical platform for exploring rich quantum phenomena.

Related papers

• Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order [17.38734393793605]
  We propose a new class of phases, termed the double ASPT phase, which emerges from a nontrivial extension of these two orders. This new phase is absent from prior studies and cannot exist in conventional closed systems.
  arXiv  Detail & Related papers  (2024-10-17T16:36:53Z)
• SUSY Quantum Mechanics, (non)-Analyticity and $\ldots$ Phase Transitions [55.2480439325792]
  It is shown by analyzing the $1D$ Schr"odinger equation that discontinuities in the coupling constant can occur in both the energies and the eigenfunctions.<n>Those discontinuities, which are present in the energies it versus the coupling constant, are of three types only: (i) discontinuous energies (similar to 1st order phase transitions), (ii) discontinuous first derivative in the energy while the energy is continuous.
  arXiv  Detail & Related papers  (2024-09-04T21:10:36Z)
• Phase driven unconventional superradiance phase transition in non-Hermitian cascaded quantum Rabi cavities [0.0]
  This study investigates phase-driven symmetry breaking leading to superradiance phase transitions in non-Hermitian quantum Rabi cavities. We analytically derive the superradiance phase boundary, validated by observables. We identify phase-driven first- and second-order superradiance phase transitions, focusing on the quantum criticality of the second-order transition.
  arXiv  Detail & Related papers  (2024-06-24T12:13:50Z)
• Many-body phase transitions in a non-Hermitian Ising chain [0.8749675983608172]
  We study many-body phase transitions in a one-dimensional ferromagnetic transversed field Ising model with an imaginary field. We show that the system exhibits three phase transitions: one second-order phase transition and two $mathcalPT$ phase transitions.
  arXiv  Detail & Related papers  (2023-11-19T06:32:12Z)
• Theory of mobility edge and non-ergodic extended phase in coupled random matrices [18.60614534900842]
  The mobility edge, as a central concept in disordered models for localization-delocalization transitions, has rarely been discussed in the context of random matrix theory. We show that their overlapped spectra and un-overlapped spectra exhibit totally different scaling behaviors, which can be used to construct tunable mobility edges. Our model provides a general framework to realize the mobility edges and non-ergodic phases in a controllable way in RMT.
  arXiv  Detail & Related papers  (2023-11-15T01:43:37Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Quantum phase transition between symmetry enriched topological phases in tensor-network states [6.014569675344553]
  Quantum phase transitions between different topologically ordered phases exhibit rich structures and are generically challenging to study in microscopic lattice models. We propose a tensor-network solvable model that allows us to tune between different symmetry enriched topological (SET) phases.
  arXiv  Detail & Related papers  (2023-05-03T21:21:36Z)
• Quantum phase transitions in the triangular coupled-top model [23.303857456199328]
  We study the coupled-top model with three large spins located on a triangle. Depending on the coupling strength, there exist three phases: disordered paramagnetic phase, geometricmagnetic phase, and frustrated antiferromagnetic phase.
  arXiv  Detail & Related papers  (2022-11-06T02:24:37Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice [4.795065373710478]
  Quantum loop and dimer models are prototypical correlated systems with local constraints. We reveal the complete phase diagram of the triangular-lattice fully packed quantum loop model. Our results are of relevance to recent developments in both experiments and theory, and facilitate further investigations of hidden phases and transitions.
  arXiv  Detail & Related papers  (2022-05-09T18:00:00Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits [20.002319486166016]
  We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction.
  arXiv  Detail & Related papers  (2021-11-05T13:17:49Z)
• Resilience of the superradiant phase against $\mathbf {A^2}$ effects in the quantum Rabi dimer [0.0]
  We study the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. We find that the model allows the appearance of a superradiant quantum phase transition (QPT) even in the presence of strong $mathbfA2$ terms. Our work provides a way to the study of phase transitions in presence of the $mathbfA2$ terms and offers the prospect of investigating quantum-criticality physics and quantum devices in many-body systems.
  arXiv  Detail & Related papers  (2020-03-03T04:14:13Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.