Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\cal{PT}$-symmetry breaking in a Floquet system

• URL: http://arxiv.org/abs/2302.09793v1
• Date: Mon, 20 Feb 2023 06:44:13 GMT
• Title: Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\cal{PT}$-symmetry breaking in a Floquet system
• Authors: Wen-Lei Zhao, Ru-Ru Wang, Han Ke, Jie Liu
• Abstract summary: We investigate the dynamics of out-of-time-order correlators (OTOCs) in a non-Hermitian kicked rotor model. In the unbroken phase of $mathcalPT$ symmetry, the OTOCs increase monotonically and eventually saturate with time. Just beyond the phase transition points, the OTOCs increase in the power-laws of time, with the exponent larger than two.
• Score: 3.121345642619774
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate both numerically and analytically the dynamics of out-of-time-order correlators (OTOCs) in a non-Hermitian kicked rotor model, addressing the scaling laws of the time dependence of OTOCs at the transition to the spontaneous $\mathcal{PT}$ symmetry breaking. In the unbroken phase of $\mathcal{PT}$ symmetry, the OTOCs increase monotonically and eventually saturate with time, demonstrating the freezing of information scrambling. Just beyond the phase transition points, the OTOCs increase in the power-laws of time, with the exponent larger than two. Interestingly, the quadratic growth of OTOCs with time emerges when the system is far beyond the phase transition points. Above numerical findings have been validated by our theoretical analysis, which provides a general framework with important implications for Floquet engineering and the information scrambling in chaotic systems.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Scaling of out-of-time ordered correlators in a non-Hermitian kicked rotor model [0.0]
  We investigate the dynamics of the out-of-time-ordered correlators (OTOCs) We find, both analytically and numerically, that in the broken phase of $calPT$ symmetry, the OTOCs rapidly saturate with time evolution.
  arXiv  Detail & Related papers  (2022-12-18T23:50:37Z)
• Dissipative time crystals with long-range Lindbladians [0.0]
  We show that time-translation breaking collective oscillations persist, in the thermodynamic limit, even in the absence of spin symmetry. This model shows a surprisingly rich phase diagram, including the time-crystal phase as well as first-order, second-order, and continuous transitions of the fixed points.
  arXiv  Detail & Related papers  (2022-08-24T16:55:28Z)
• Anomalous criticality with bounded fluctuations and long-range frustration induced by broken time-reversal symmetry [0.0]
  We consider a one-dimensional Dicke lattice with complex photon hopping amplitudes. We investigate the influence of time-reversal symmetry breaking due to synthetic magnetic fields.
  arXiv  Detail & Related papers  (2022-08-03T18:00:04Z)
• Dynamical scaling symmetry and asymptotic quantum correlations for time-dependent scalar fields [0.0]
  In time-independent quantum systems, entanglement entropy possesses an inherent scaling symmetry that the energy of the system does not have. We show that such systems have dynamical scaling symmetry that leaves the evolution of various measures of quantum correlations invariant.
  arXiv  Detail & Related papers  (2022-05-26T13:20:46Z)
• 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)
• Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
  We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase. We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
  arXiv  Detail & Related papers  (2022-01-17T10:56:57Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Out-of-time-order correlations and the fine structure of eigenstate thermalisation [58.720142291102135]
  Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation. We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH) We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
  arXiv  Detail & Related papers  (2021-03-01T17:51:46Z)

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.