Entanglement dynamics and ergodicity breaking in a quantum cellular automaton

• URL: http://arxiv.org/abs/2207.05360v1
• Date: Tue, 12 Jul 2022 07:51:43 GMT
• Title: Entanglement dynamics and ergodicity breaking in a quantum cellular automaton
• Authors: Kevissen Sellapillay, Alberto Verga, Giuseppe Di Molfetta
• Abstract summary: We investigate a quantum cellular automaton based on the classical rule that updates a site if its two neighbors are in the lower state. We show that the breaking of ergodicity extends to chaotic states. Evidence of nonlocal entanglement is found, showing that these nonthermal chaotic states may be useful to quantum computation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Ergodicity breaking is observed in the blockade regime of Rydberg atoms arrays, in the form of low entanglement eigenstates known as scars, which fail to thermalize. The signature of these states persists in periodically driven systems, where they coexist with an extensive number of chaotic states. Here we investigate a quantum cellular automaton based on the classical rule that updates a site if its two neighbors are in the lower state. We show that the breaking of ergodicity extends to chaotic states. The dynamical breaking of ergodicity is controlled by chiral quasiparticle excitations which propagate entanglement. Evidence of nonlocal entanglement is found, showing that these nonthermal chaotic states may be useful to quantum computation.

Related papers

• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain [0.0]
  Kinetically constrained spin chains serve as a prototype for structured ergodicity breaking in isolated quantum systems. We show that such a system exhibits a hierarchy of degenerate steady states when driven by incoherent pump and loss at the boundary.
  arXiv  Detail & Related papers  (2024-11-05T18:03:02Z)
• Observation of string breaking on a (2 + 1)D Rydberg quantum simulator [59.63568901264298]
  We report the observation of string breaking in synthetic quantum matter using a programmable quantum simulator. Our work paves a way to explore phenomena in high-energy physics using programmable quantum simulators.
  arXiv  Detail & Related papers  (2024-10-21T22:33:16Z)
• Disorder-tunable entanglement at infinite temperature [18.552959588855124]
  We build a custom-built superconducting qubit ladder to realize non-thermalizing states with rich entanglement structures. Despite effectively forming an "infinite" temperature ensemble, these states robustly encode quantum information far from equilibrium.
  arXiv  Detail & Related papers  (2023-12-15T21:30:38Z)
• 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)
• Scrambling in quantum cellular automata [0.0]
  Scrambling is the delocalization of quantum information over a many-body system. We employ discrete quantum cellular automata as classically simulable toy models of scrambling.
  arXiv  Detail & Related papers  (2023-01-18T19:00:02Z)
• Reviving product states in the disordered Heisenberg chain [0.0]
  A generic quantum system is typically equilibrates toward a state that can be described by a thermal ensemble. Localized systems are non-ergodic and do not thermalize, however local observables are still believed to become stationary. Here we demonstrate that this general picture is incomplete by constructing product states which feature periodic high-fidelity revivals of the full wavefunction.
  arXiv  Detail & Related papers  (2022-10-06T18:25:43Z)
• Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
  Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
  arXiv  Detail & Related papers  (2022-07-29T18:20:09Z)
• Unconventional mechanism of virtual-state population through dissipation [125.99533416395765]
  We report a phenomenon occurring in open quantum systems by which virtual states can acquire a sizable population in the long time limit. This means that the situation where the virtual state remains unpopulated can be metastable. We show how these results can be relevant for practical questions such as the generation of stable and metastable entangled states in dissipative systems of interacting qubits.
  arXiv  Detail & Related papers  (2022-02-24T17:09:43Z)
• Driven anti-Bragg subradiant states in waveguide quantum electrodynamics [91.3755431537592]
  We study theoretically driven quantum dynamics in periodic arrays of two-level qubits coupled to the waveguide. We demonstrate, that strongly subradiant eigenstates of the master equation for the density matrix emerge under strong coherent driving for arrays with the anti-Bragg periods.
  arXiv  Detail & Related papers  (2022-02-21T11:36:55Z)
• Pulsed multireservoir engineering for a trapped ion with applications to state synthesis and quantum Otto cycles [68.8204255655161]
  Reservoir engineering is a remarkable task that takes dissipation and decoherence as tools rather than impediments. We develop a collisional model to implement reservoir engineering for the one-dimensional harmonic motion of a trapped ion. Having multiple internal levels, we show that multiple reservoirs can be engineered, allowing for more efficient synthesis of well-known non-classical states of motion.
  arXiv  Detail & Related papers  (2021-11-26T08:32:39Z)
• Ubiquitous quantum scarring does not prevent ergodicity [0.0]
  In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time. This simplified picture was shaken by the discovery of quantum scarring. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred.
  arXiv  Detail & Related papers  (2020-09-01T18:00:30Z)

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.