Persistent oscillations after quantum quenches: The inhomogeneous case

• URL: http://arxiv.org/abs/2001.05349v2
• Date: Tue, 7 Apr 2020 12:42:01 GMT
• Title: Persistent oscillations after quantum quenches: The inhomogeneous case
• Abstract summary: We consider quenches that break initial translation invariance. If the quench excites a single-quasiparticle mode, oscillations with the frequency of the quasiparticle mass stay undamped until a time increasing with the length of the quenched interval, before decaying as $t-1/2$. The translation invariant case with no damping is recovered as the length of the interval goes to infinity.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We previously showed that a quantum quench in a one-dimensional translation invariant system produces undamped oscillations of a local observable when the post-quench state includes a single-quasiparticle mode and the observable couples to that mode [J. Phys. A 47 (2014) 402001]. Here we consider quenches that break initial translation invariance. Focusing on quenches performed only on an interval of the whole system, we analytically determine the time evolution of local observables, which occurs inside a truncated light cone spreading away from the quenched interval as time increases. If the quench excites a single-quasiparticle mode, oscillations with the frequency of the quasiparticle mass stay undamped until a time increasing with the length of the quenched interval, before eventually decaying as $t^{-1/2}$. The translation invariant case with no damping is recovered as the length of the interval goes to infinity.

Related papers

• Resonant delay in a stationary quantum clock: Lifting the threshold mask [0.0]
  We revisit the Salecker--Wigner--Peres stationary quantum clock as a phase-sensitive scattering observable.<n>For the attractive square well, this threshold is inherited from the vanishing exterior momentum and the associated scattering matching.<n>We derive the exact stationary clock time for the square well and introduce a new threshold-subtracted clock observable.
  arXiv  Detail & Related papers  (2026-06-01T18:00:05Z)
• The problem of time: a path integral view [47.21208639026933]
  We show how Schrdinger evolution emerges once a clock degree of freedom is identified and placed in a semiclassical good-clock state'<n>Our analysis has a consequence that extends to path integral formulations of generally covariant systems with action $S$ (including gravity)
  arXiv  Detail & Related papers  (2026-05-18T06:43:38Z)
• Nonthermal Dynamics and Scar-Like Spectral Structures in a High-Spin Fermi Gas [12.044767899698208]
  We investigate nonequilibrium dynamics and weak ergodicity breaking in a harmonically trapped spin-$3/2$ Fermi gas by using the time-dependent Hartree-Fock equation.<n>We find that the long-lived coherent oscillations originate from collective phase interference associated with a quasi-regular spectral structure embedded in the many-body continuum.
  arXiv  Detail & Related papers  (2026-03-10T12:15:41Z)
• Evidence for a two-dimensional quantum glass state at high temperatures [108.88989889650607]
  Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases.<n>We study an interacting spin model at finite temperature in a disordered landscape.<n>Our results show that there is a transition out of the ergodic phase in two-dimensional systems.
  arXiv  Detail & Related papers  (2026-01-04T00:09:50Z)
• Time Symmetry, Retrocausality, and Emergent Collapse: The Tlalpan Interpretation of Quantum Mechanics [51.56484100374058]
  The Tlalpan Interpretation (QTI) proposes that the wavefunction collapse is not a primitive, axiomatic rule but an emergent phenomenon.<n>The novelty of QTI lies in its embedding of collapse within the conceptual language of critical phenomena in statistical physics.
  arXiv  Detail & Related papers  (2025-08-25T20:30:56Z)
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap [0.0]
  We introduce the time glass, a non-periodic analogue of the discrete time crystal that arises in periodically driven quantum many-body systems.<n>We show that the Liouvillian gap remains finite in the thermodynamic limit, in contrast to time crystals where the gap closes exponentially with system size.<n>This result establishes a direct correspondence between microscopic spectral features and emergent macroscopic dynamics in driven dissipative quantum systems.
  arXiv  Detail & Related papers  (2025-06-05T08:18:17Z)
• Understanding multiple timescales in quantum dissipative dynamics: Insights from quantum trajectories [0.0]
  We show that open quantum systems with nearly degenerate energy levels exhibit long-lived metastable states in the approach to equilibrium. This is a result of dramatic separation of timescales due to differences between Liouvillian eigenvalues.
  arXiv  Detail & Related papers  (2024-02-07T02:06:51Z)
• Thermodynamic formalism and anomalous transport in 1D semiclassical Bose-Hubbard chain [0.0]
  We analyze the time-dependent free energy functionals of the semiclassical one-dimensional Bose-Hubbard chain. We first review the weakly chaotic dynamics and the consequent early-time anomalous diffusion in the system. The anomalous diffusion is robust, appears with strictly quantized coefficients, and persists even for very long chains.
  arXiv  Detail & Related papers  (2023-12-28T13:23:18Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Spatial quasiperiodic driving of a dissipative optical lattice and origin of directed Brillouin modes in a randomly diffusing cold atom cloud [34.82692226532414]
  Atoms confined in a three-dimensional dissipative optical lattice oscillate inside potential wells, hopping to adjacent wells, thereby diffusing in all directions. Illumination by a weak probe beam modulates the lattice, yielding propagating atomic density waves, referred to as Brillouin modes which travel perpendicular to the direction of travel of the probe. A systematic measurement of the transmitted probe spectra as a function of off-axis probe angle is presented, which is consistent with the velocity- and frequency-matching predictions from the detailed model.
  arXiv  Detail & Related papers  (2023-09-06T19:10:21Z)
• Dissipative time crystal in a strongly interacting Rydberg gas [14.07614057267722]
  We report the experimental observation of such dissipative time crystalline order in a room-temperature atomic gas. The observed limit cycles arise from the coexistence and competition between distinct Rydberg components. The nondecaying autocorrelation of the oscillation, together with the robustness against temporal noises, indicate the establishment of true long-range temporal order.
  arXiv  Detail & Related papers  (2023-05-31T17:44:32Z)
• Quantum quenches from an excited state [0.0]
  We extend the theory of quantum quenches to the case in which before the quench the system is in an excited state. Oscillations staying undamped within the accessible time interval, far beyond the perturbative time scale, are nowadays observed in numerical simulations.
  arXiv  Detail & Related papers  (2023-04-05T09:12:44Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Observation of a symmetry-protected topological time crystal with superconducting qubits [14.264932047880043]
  We report the observation of a symmetry-protected topological time crystal implemented with an array of programmable superconducting qubits. We observe robust long-lived temporal correlations and sub-harmonic temporal response for the edge spins up to 40 driving cycles. Our work paves the way to exploring peculiar non-equilibrium phases of matter emerged from the interplay between topology and localization as well as periodic driving.
  arXiv  Detail & Related papers  (2021-09-12T18:00:03Z)
• Probing many-body systems near spectral degeneracies [0.0]
  diagonal elements of the time correlation matrix are used to probe closed quantum systems that are measured at random times. This separation is strongly affected when spectral degeneracies occur, for instance, in the presence of spontaneous symmetry breaking. Probing the quantum evolution with the diagonal elements of the time correlation matrix is discussed as a general concept and tested in the case of a bosonic Josephson junction.
  arXiv  Detail & Related papers  (2021-08-30T12:02:33Z)
• Persistent oscillations after quantum quenches in $d$ dimensions [0.0]
  We show that oscillations undamped in time occur when the state produced by the quench includes single-quasiparticle modes and the observable couples to those modes. For homogeneous systems we show that oscillations undamped in time occur when the state produced by the quench includes single-quasiparticle modes and the observable couples to those modes.
  arXiv  Detail & Related papers  (2021-07-28T09:42:56Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Quantum time dilation in atomic spectra [62.997667081978825]
  We demonstrate how quantum time dilation manifests in a spontaneous emission process. The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets. We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
  arXiv  Detail & Related papers  (2020-06-17T18:03:38Z)
• 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.