SciPost Physics

SciPost Phys. 1, 003 (2016) · published 23 October 2016

• doi: 10.21468/SciPostPhys.1.1.003
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Abstract

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total energy, one- and two-point correlation functions and Loschmidt echo during and after the quench as well as their stationary behaviour at late times. We investigate how different quench protocols affect the dynamics and identify universal properties of the relaxation.

• Dabelow et al., Typical relaxation of perturbed quantum many-body systems
  J. Stat. Mech. 2021, 013106 (2021) [Crossref]
• Granet et al., Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
  SciPost Phys. 12, 019 (2022) [Crossref]
• Piroli et al., From the quantum transfer matrix to the quench action: the Loschmidt echo inXXZHeisenberg spin chains
  J. Stat. Mech. 2017, 023106 (2017) [Crossref]
• Cao et al., Exploring dynamical phase transitions in the XY chain through a linear quench: Early and long-term perspectives
  Phys. Rev. A 110, 042209 (2024) [Crossref]
• Cheraghi et al., Dynamical quantum phase transitions following double quenches: persistence of the initial state vs dynamical phases
  New J. Phys. 25, 103035 (2023) [Crossref]
• Bandyopadhyay et al., Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
  Sci Rep 8, 11921 (2018) [Crossref]
• Karrasch et al., Dynamical quantum phase transitions in the quantum Potts chain
  Phys. Rev. B 95, 075143 (2017) [Crossref]
• Kennes, Adiabatically deformed ensemble: Engineering nonthermal states of matter
  Phys. Rev. B 96, 024302 (2017) [Crossref]
• Zhou et al., Floquet dynamical quantum phase transitions in periodically quenched systems
  J. Phys.: Condens. Matter 33, 345403 (2021) [Crossref]
• Bandyopadhyay et al., Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators
  Phys. Rev. Lett. 126, 200602 (2021) [Crossref]
• Cheraghi et al., Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics
  Sci Rep 10, 4407 (2020) [Crossref]
• Liska et al., The Loschmidt Index
  SciPost Phys. 10, 100 (2021) [Crossref]
• Białończyk et al., Locating quantum critical points with Kibble-Zurek quenches
  Phys. Rev. B 102, 134302 (2020) [Crossref]
• Kennes et al., Controlling dynamical quantum phase transitions
  Phys. Rev. B 97, 184302 (2018) [Crossref]
• Baghran et al., Competition of long-range interactions and noise at a ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
  Phys. Rev. B 110, 064302 (2024) [Crossref]
• Bhattacharya et al., Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
  Phys. Rev. B 96, 014302 (2017) [Crossref]
• Trapin et al., Constructing effective free energies for dynamical quantum phase transitions in the transverse-field Ising chain
  Phys. Rev. B 97, 174303 (2018) [Crossref]
• Piccitto et al., Dynamical phase transition in the transverse field Ising chain characterized by the transverse magnetization spectral function
  Phys. Rev. B 100, 134311 (2019) [Crossref]
• Dubail et al., Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
  SciPost Phys. 3, 019 (2017) [Crossref]
• Heyl, Dynamical quantum phase transitions: a review
  Rep. Prog. Phys. 81, 054001 (2018) [Crossref]
• Yang et al., Floquet dynamical quantum phase transitions
  Phys. Rev. B 100, 085308 (2019) [Crossref]
• Bhattacharjee et al., Dynamical quantum phase transitions in extended transverse Ising models
  Phys. Rev. B 97, 134306 (2018) [Crossref]
• Dutta et al., Probing the role of long-range interactions in the dynamics of a long-range Kitaev chain
  Phys. Rev. B 96, 125113 (2017) [Crossref]
• Dóra et al., Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description
  Phys. Rev. B 108, L121105 (2023) [Crossref]
• Bhattacharya et al., Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
  Phys. Rev. B 95, 184307 (2017) [Crossref]
• Piroli et al., Non-analytic behavior of the Loschmidt echo in XXZ spin chains: Exact results
  Nuclear Physics B 933, 454 (2018) [Crossref]
• Yao et al., Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in the real-time domain
  Phys. Rev. B 102, 035133 (2020) [Crossref]
• Hódsági et al., Kibble–Zurek mechanism in the Ising Field Theory
  SciPost Phys. 9, 055 (2020) [Crossref]
• Srivastav et al., Dynamical quantum phase transitions in extended toric-code models
  Phys. Rev. B 100, 144203 (2019) [Crossref]
• Cao et al., Aperiodic dynamical quantum phase transition in multi-band Bloch Hamiltonian and its origin
  J. Phys.: Condens. Matter 36, 155401 (2024) [Crossref]
• Masłowski et al., Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
  Phys. Rev. B 101, 014301 (2020) [Crossref]
• Białończyk et al., One-half of the Kibble–Zurek quench followed by free evolution
  J. Stat. Mech. 2018, 073105 (2018) [Crossref]
• Pérez-García et al., Dynamical quantum phase transitions from random matrix theory
  Quantum 8, 1271 1271 (2024) [Crossref]
• Zamani et al., Scaling and universality at ramped quench dynamical quantum phase transitions
  J. Phys.: Condens. Matter 36, 355401 (2024) [Crossref]
• Zhou et al., Dynamical quantum phase transitions in non-Hermitian lattices
  Phys. Rev. A 98, 022129 (2018) [Crossref]
• Jafari et al., Quench dynamics and zero-energy modes: The case of the Creutz model
  Phys. Rev. B 99, 054302 (2019) [Crossref]
• Bhattacharya et al., Mixed state dynamical quantum phase transitions
  Phys. Rev. B 96, 180303 (2017) [Crossref]
• Białończyk et al., Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble–Zurek mechanism
  J. Stat. Mech. 2020, 013108 (2020) [Crossref]
• Weisbrich et al., Decoherence and relaxation of topological states in extended quantum Ising models
  SciPost Phys. 6, 037 (2019) [Crossref]
• Piroli et al., Integrable quenches in nested spin chains II: fusion of boundary transfer matrices
  J. Stat. Mech. 2019, 063104 (2019) [Crossref]
• Porta et al., Topological classification of dynamical quantum phase transitions in the xy chain
  Sci Rep 10, 12766 (2020) [Crossref]