Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction

• URL: http://arxiv.org/abs/2010.01379v1
• Date: Sat, 3 Oct 2020 16:08:56 GMT
• Title: Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
• Authors: Zu-Jian Ying
• Abstract summary: We study the interplay of the bias and the nonlinear interaction with the linear coupling in the ground state. We find that the full quantum-mechanical effect leads to novel transitions, tricriticalities and quadruple points.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum Rabi model (QRM) is fascinating not only because of its broad relevance and but also due to its few-body quantum phase transition. In practice both the bias and the nonlinear coupling in QRM are important controlling parameters in experimental setups. We study the interplay of the bias and the nonlinear interaction with the linear coupling in the ground state which exhibits various patterns of symmetry breaking and different orders of transitions. Several situations of tricriticality are unveiled in the low frequency limit and at finite frequencies. We find that the full quantum-mechanical effect leads to novel transitions, tricriticalities and quadruple points, which are much beyond the semiclassical picture. We clarify the underlying mechanisms by analyzing the energy competitions and the essential changeovers of the quantum states, which enables us to extract most analytic phase boundaries.

Related papers

• Entanglement, information and non-equilibrium phase transitions in long-range open quantum Ising chains [0.0]
  Non-equilibrium phase transitions of open quantum systems exhibit diverging classical but not quantum correlations. We study these quantities in the steady state of open quantum Ising chains with power-law interactions. We consider three distinct entanglement measures: logarithmic negativity; quantum Fisher information; and, spin squeezing.
  arXiv  Detail & Related papers  (2024-10-07T18:00:00Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Experimental demonstration of spontaneous symmetry breaking with emergent multi-qubit entanglement [10.791982177923412]
  Spontaneous symmetry breaking ( SSB) is crucial to the occurrence of phase transitions. We present an experimental demonstration of the SSB process in the Lipkin-Meshkov-Glick model. The observed nonclassical correlations among these qubits in the symmetry-breaking region go beyond the conventional description of SSB.
  arXiv  Detail & Related papers  (2024-07-17T13:50:29Z)
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories [0.0]
  We show that a change in the type of dynamical quantum phase transitions accompanies the confinement-deconfinement transition. Our conclusions can be tested in modern quantum-simulation platforms, such as ion-trap setups and cold-atom experiments of gauge theories.
  arXiv  Detail & Related papers  (2023-10-18T18:00:04Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Quantum Multicritical Behavior for Coupled Optical Cavities with Driven Laser Fields [3.811778212199368]
  We propose a system that a quantized light field interacts with a two-level atomic ensemble coupled by microwave fields in optical cavities. We find that the quantum critical points can evolve into a Lifshitz point if the Rabi frequency of the light field is periodically in time. Remarkably, the texture of atomic pseudo-spins can be used to characterize the quantum critical behaviors of the system.
  arXiv  Detail & Related papers  (2022-02-09T10:57:53Z)
• Quantum multicritical point in the two- and three-dimensional random transverse-field Ising model [0.0]
  Quantum multicritical points (QMCPs) emerge at the junction of two or more quantum phase transitions. We characterize the QMCP of an interacting heterogeneous quantum system in two and three dimensions. The QMCP of the RTIM is found to exhibit ultraslow, activated dynamic scaling, governed by an infinite disorder fixed point.
  arXiv  Detail & Related papers  (2021-11-12T17:19:26Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)

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.