Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations

• URL: http://arxiv.org/abs/2110.00030v1
• Date: Thu, 30 Sep 2021 18:00:10 GMT
• Title: Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
• Authors: Federico Carollo and Igor Lesanovsky
• Abstract summary: Systems that display nonequilibrium transitions into these phases are referred to as time-crystals. We show that boundary time-crystals are intrinsically critical phases, where fluctuations exhibit a power-law divergence with time.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The breaking of the continuous time-translation symmetry manifests, in Markovian open quantum systems, through the emergence of non-stationary dynamical phases. Systems that display nonequilibrium transitions into these phases are referred to as time-crystals, and they can be realized, for example, in many-body systems governed by collective dissipation and long-ranged interactions. Here, we provide a complete analytical characterization of a boundary time-crystal phase transition. This involves exact expressions for the order parameter and for the dynamics of quantum fluctuations, which, in the time-crystalline phase, remains asymptotically non-Markovian as a consequence of the time-translation symmetry breaking. We demonstrate that boundary time-crystals are intrinsically critical phases, where fluctuations exhibit a power-law divergence with time. Our results show that a dissipative time-crystal phase is far more than merely a classical non-linear and non-stationary (limit cycle) dynamics of a macroscopic order parameter. It is rather a genuine many-body phase where the properties of correlations distinctly differs from that of stationary ones.

Related papers

• Measurement-induced entanglement transition in chaotic quantum Ising chain [42.87502453001109]
  We study perturbations that break the integrability and/or the symmetry of the model, as well as modifications in the measurement protocol, characterizing the resulting chaos and lack of integrability through the Dissipative Spectral Form Factor (DSFF) We show that while the measurement-induced phase transition and its properties appear broadly insensitive to lack of integrability and breaking of the $bbZ$ symmetry, a modification of the measurement basis from the transverse to the longitudinal direction makes the phase transition disappear altogether.
  arXiv  Detail & Related papers  (2024-07-11T17:39:29Z)
• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points [0.7373617024876725]
  We show that a Lindladian parity-time symmetry can generically produce persistent periodic oscillations. The periodic orbits in the PT-symmetric phase are found to be center-type, implying an initial-state-dependent amplitude. This research will further our understanding of novel non-equilibrium phases of matter and phase transitions with spontaneous anti-unitary symmetry breaking.
  arXiv  Detail & Related papers  (2024-06-13T11:43:45Z)
• Nonequilibrium transition between dissipative time crystals [0.9217021281095907]
  We show a dissipative phase transition in a driven nonlinear quantum oscillator in which a discrete time-translation symmetry is spontaneously broken in two different ways. The corresponding regimes display either discrete or incommensurate time-crystal order, which we analyze numerically and analytically.
  arXiv  Detail & Related papers  (2023-08-23T11:59:31Z)
• Entangled time-crystal phase in an open quantum light-matter system [0.0]
  Time-crystals are nonequilibrium many-body phases in which the state of the system dynamically approaches a limit cycle. We show that time-crystal phases in collective open quantum systems can sustain quantum correlations, including entanglement.
  arXiv  Detail & Related papers  (2023-03-14T09:15:50Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• 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)
• 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)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• 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)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems [0.0]
  We show that spontaneous symmetry breaking can occur at a short-time regime. Our results open up research for hitherto unknown phases in short-time regimes.
  arXiv  Detail & Related papers  (2020-12-22T04:04:56Z)

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.