Dynamic Phase Transitions in Periodically Driving 1D Ising Model

• URL: http://arxiv.org/abs/2512.24600v1
• Date: Wed, 31 Dec 2025 03:42:41 GMT
• Title: Dynamic Phase Transitions in Periodically Driving 1D Ising Model
• Authors: Yuanyuan Cheng, Yuxia Zhang, Tianhui Qiu, Peipei Xin, Bao-Ming Xu,
• Abstract summary: We investigate quantum dynamical phase transitions (DQPTs) in a one-dimensional Ising model.<n>A resonant periodic drive can trigger a DQPT when its frequency matches the energy-level transition of the system.<n>For drives across the critical point between the FM and PM phases, low frequencies can always induce DQPTs, regardless of resonance.
• Score: 2.3063966999894006
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that DQPTs can be induced in two distinct ways. First, when the system remains within a given phase--ferromagnetic (FM) or paramagnetic (PM), a resonant periodic drive can trigger a DQPT when its frequency matches the energy-level transition of the system. The timescale for the transition is governed by the perturbation strength $λ'$, the critical mode $k_c$, and its energy gap $Δ_{k_c}$, following the scaling relation $τ\propto \sin^{-1}k_c Δ_{k_c}λ'^{-1}$. Second, for drives across the critical point between the FM and PM phases, low frequencies can always induce DQPTs, regardless of resonance. This behavior stems from the degeneracy of the energy-level at the critical point, which ensures that any drive with a frequency lower than the system's intrinsic transition frequency will inevitably excite the system. However, in the high-frequency regime, such excitation will be strongly suppressed, thereby inhibiting the occurrence of DQPTs. This study provides deeper insight into the nonequilibrium dynamics of quantum spin chains.

Related papers

• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions [0.0]
  Dynamical quantum phase transitions (DQPTs) have been studied in the extended XY model under both noiseless and noisy linear driven staggered field cases.<n>In the noiseless ramp case, unlike the transverse field XY model where DQPT always occurs for a quench crossing the single critical point, there is a critical sweep velocity above which the kinks corresponding to a DQPT are completely removed.<n>A surprising result occurs when the noise intensity and sweep velocity are about the same order of magnitude, the number of critical modes is significantly increased, signalling a region with multiple critical modes.
  arXiv  Detail & Related papers  (2025-06-17T09:50:51Z)
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition [0.0]
  The nonequilibrium dynamics of a periodically driven extended XY model is investigated using the notion of dynamical quantum phase transitions (DQPTs) We have shown that the critical points of the model, where the gap closing occurs, can be moved by tuning the driven frequency. On the basis of numerical simulations, we find that the dynamical free energy scales linerly with time, with the exponent $nu=1pm 0.01$ for all sweep velocities and driven frequencies.
  arXiv  Detail & Related papers  (2023-10-23T17:07:47Z)
• Dynamical quantum phase transitions following a noisy quench [0.0]
  We study how time-dependent energy fluctuations impact the quantum phase transitions following a noisy quench of the transverse magnetic field in a quantum Ising chain.<n>We trace the phenomenon to the interplay between noise-induced excitations which accumulate during the quench and the nearadiabatic dynamics of the system.
  arXiv  Detail & Related papers  (2023-10-20T07:56:47Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Engineering Floquet Dynamical Quantum Phase Transition [0.0]
  Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent nonanalytic behaviors of observables in time. We introduce a quench-free and generic approach to engineer and control FDQPTs for both pure and mixed Floquet states.
  arXiv  Detail & Related papers  (2022-06-07T09:41:21Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Frequency combs with parity-protected cross-correlations from dynamically modulated qubit arrays [117.44028458220427]
  We develop a general theoretical framework to dynamically engineer quantum correlations in the frequency-comb emission from an array of superconducting qubits in a waveguide. We demonstrate, that when the resonance of the two qubits are periodically modulated with a $pi$ phase shift, it is possible to realize simultaneous bunching and antibunching in cross-correlations of the scattered photons from different sidebands.
  arXiv  Detail & Related papers  (2022-03-01T13:12:45Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• 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)
• Finite-component dynamical quantum phase transitions [0.0]
  We show two types of dynamical quantum phase transitions (DQPTs) in a quantum Rabi model. One refers to distinct phases according to long-time averaged order parameters, the other is focused on the non-analytical behavior emerging in the rate function of the Loschmidt echo. We find the critical times at which the rate function becomes non-analytical, showing its associated critical exponent as well as the corrections introduced by a finite frequency ratio.
  arXiv  Detail & Related papers  (2020-08-31T17:31:17Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.