Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition

• URL: http://arxiv.org/abs/2201.12540v2
• Date: Wed, 14 Dec 2022 19:49:31 GMT
• Title: Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
• Authors: Jacek Dziarmaga, Marek M. Rams, and Wojciech H. Zurek
• Abstract summary: quenches through the critical region of quantum phase transitions result in post-transition states populated with topological defects. We identify coherent quantum oscillations induced by such superpositions in observables complementary to the one involved in symmetry breaking. In addition to the obvious fundamental significance of a superposition of different broken symmetry states, quantum coherent oscillations can be used to verify unitarity and test for imperfections of the experimental implementations of quantum simulators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: It is now widely accepted that quenches through the critical region of quantum phase transitions result in post-transition states populated with topological defects -- analogs of the classical topological defects. However, consequences of the very non-classical fact that the state after a quench is a {\it superposition} of distinct, broken-symmetry vacua with different numbers and locations of defects have remained largely unexplored. We identify coherent quantum oscillations induced by such superpositions in observables complementary to the one involved in symmetry breaking. These oscillations satisfy Kibble-Zurek dynamical scaling laws with the quench rate, with an instantaneous oscillation frequency set primarily by the gap of the system. In addition to the obvious fundamental significance of a superposition of different broken symmetry states, quantum coherent oscillations can be used to verify unitarity and test for imperfections of the experimental implementations of quantum simulators.

Related papers

• Crossing exceptional points in non-Hermitian quantum systems [41.94295877935867]
  We reveal the behavior of two-photon quantum states in non-Hermitian systems across the exceptional point. We demonstrate a switching in the quantum interference of photons directly at the exceptional point.
  arXiv  Detail & Related papers  (2024-07-17T14:04:00Z)
• Kibble-Zurek mechanism and errors of gapped quantum phases [0.25602836891933073]
  Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. We present a novel numerical scheme to estimate the scaling exponent wherein the notion of defects is mapped to errors.
  arXiv  Detail & Related papers  (2024-01-24T17:57:27Z)
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain [30.733286944793527]
  We study how imperfections present in concrete implementations of the Frenkel-Kontorova model affect the properties of topological defects. We analyze the propagation and scattering of solitons, examining the role of quantum fluctuations and imperfections in influencing these processes.
  arXiv  Detail & Related papers  (2024-01-23T10:12:45Z)
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators [5.743814444071535]
  Parametrically driven nonlinear resonators represent building block for realizing fault-tolerant quantum computation. Critical phenomena can occur without interaction with any other quantum system. This work reveals that the quantum metric and Berry curvature display diverging behaviors across the quantum phase transition.
  arXiv  Detail & Related papers  (2023-12-22T03:31:58Z)
• Universal defects statistics with strong long-range interactions [5.8010446129208155]
  The mechanism of defect generation in long-range systems is a purely quantum process with no classical equivalent. Our findings can be tested on various experimental platforms, including Rydberg gases and trapped ions.
  arXiv  Detail & Related papers  (2023-05-19T15:55:35Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• 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)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Revival of oscillation and symmetry breaking in coupled quantum oscillators [13.939388417767136]
  We demonstrate for the first time that quantum oscillation suppression states can be revoked. In sharp contrast to the classical system, we show that in the deep quantum regime the feedback parameter fails to revive oscillation.
  arXiv  Detail & Related papers  (2021-05-22T05:03:58Z)
• Experimentally verifying anti-Kibble-Zurek behavior in a quantum system under noisy control field [38.305954220018315]
  Kibble-Zurek mechanism (KZM) is a universal framework which could in principle describe phase transition phenomenon. A conflicting observation termed anti-KZ behavior has been reported in the study of ferroelectric phase transition. Our research sets a stage for quantum simulation of such anti-KZ behavior in two-level systems.
  arXiv  Detail & Related papers  (2020-08-03T14:03:21Z)
• Measurement-induced quantum criticality under continuous monitoring [0.0]
  We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement. We find the signatures of the transitions as peak structures in the mutual information as a function of measurement strength. We propose a possible experimental setup to test the predicted entanglement transition based on the subsystem particle-number fluctuations.
  arXiv  Detail & Related papers  (2020-04-24T19:35:28Z)

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.