Steady-state susceptibility in continuous phase transitions of dissipative systems

• URL: http://arxiv.org/abs/2201.04430v2
• Date: Sat, 28 May 2022 14:17:29 GMT
• Title: Steady-state susceptibility in continuous phase transitions of dissipative systems
• Authors: Xingli Li, Yan Li and Jiasen Jin
• Abstract summary: We find that the susceptibilities of fidelity and trace distance exhabit singular behaviors near the critical points of phase transitions in both models. The critical points, in thermodynamic limit, extracted from the scalings of the critical controlling parameters to the system size or nonlinearity agree well with the existed results.
• Score: 3.0429703764855343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we explore the critical behaviors of fidelity susceptibility and trace distance susceptibility associated to the steady states of dissipative systems at continuous phase transitions. We investigate on two typical models, one is the dissipative spin-1/2 XYZ model on two-dimensional square lattice and the other is a driven-dissipative Kerr oscillator. We find that the susceptibilities of fidelity and trace distance exhabit singular behaviors near the critical points of phase transitions in both models. The critical points, in thermodynamic limit, extracted from the scalings of the critical controlling parameters to the system size or nonlinearity agree well with the existed results.

Related papers

• Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions [0.0]
  We show that several models of interacting XXZ spin chains subject to boundary driving and dissipation possess a subtle kind of time-reversal symmetry. Our exact solution also directly yields driven-dissipative double-chain models that have pure, entangled steady states that are also current carrying.
  arXiv  Detail & Related papers  (2024-07-17T17:12:53Z)
• Spin fluctuations in the dissipative phase transitions of the quantum Rabi model [0.998109397893173]
  We investigate the dissipative phase transitions of the anisotropic quantum Rabi model with cavity decay. Our findings indicate a general tendency of forming extreme non-equilibrium states in the single-spin system.
  arXiv  Detail & Related papers  (2023-12-11T13:35:05Z)
• Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay [0.0]
  We find that the quasi continuous steady-state phase transition is presented as a consequence of the merging of two branches of steady-state solutions. The emergence of bistability is confirmed by analyzing the steady-state behaviors of a set of finite-size systems.
  arXiv  Detail & Related papers  (2023-04-19T13:24:32Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Diverging current fluctuations in critical Kerr resonators [0.0]
  We study a driven-dissipative nonlinear cavity with both continuous and discontinuous quantum phase transitions. Considering both direct photodetection and homodyne detection schemes, we find that the current fluctuations diverge exponentially at the discontinuous phase transition. Our findings highlight the rich features of current fluctuations near nonequilibrium phase transitions in quantum-optical systems.
  arXiv  Detail & Related papers  (2022-05-05T13:01:33Z)
• Measurement-Induced Entanglement Phase Transition in Random Bilocal Circuits [0.0]
  We study the dynamics of averaged purity for a simple $N$-qudit Brownian circuit model with all-to-all random interaction and measurements. We show that there are two phases distinguished by the behavior of the total system entropy in the long time.
  arXiv  Detail & Related papers  (2022-01-30T02:07:46Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)
• Superradiant phase transition in complex networks [62.997667081978825]
  We consider a superradiant phase transition problem for the Dicke-Ising model. We examine regular, random, and scale-free network structures.
  arXiv  Detail & Related papers  (2020-12-05T17:40:53Z)
• Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
  We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
  arXiv  Detail & Related papers  (2020-06-20T10:07:01Z)

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.