Dynamical Transition due to Feedback-induced Skin Effect

• URL: http://arxiv.org/abs/2311.16541v3
• Date: Thu, 29 Aug 2024 15:47:48 GMT
• Title: Dynamical Transition due to Feedback-induced Skin Effect
• Authors: Ze-Chuan Liu, Kai Li, Yong Xu,
• Abstract summary: We study the many-body dynamics in a continuously monitored free fermion system with conditional feedback under open boundary conditions. We find a novel dynamical transition from a logarithmic scaling of the entanglement entropy to an area-law scaling as time evolves. In addition, we find that while quasidisorder or disorder cannot drive a transition for the steady state, a transition occurs for the maximum entanglement entropy during the time evolution.
• Score: 13.60996540056005
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The traditional dynamical phase transition refers to the appearance of singularities in an observable with respect to a control parameter for a late-time state or singularities in the rate function of the Loschmidt echo with respect to time. Here, we study the many-body dynamics in a continuously monitored free fermion system with conditional feedback under open boundary conditions. We surprisingly find a novel dynamical transition from a logarithmic scaling of the entanglement entropy to an area-law scaling as time evolves. The transition, which is noticeably different from the conventional dynamical phase transition, arises from the competition between the bulk dynamics and boundary skin effects. In addition, we find that while quasidisorder or disorder cannot drive a transition for the steady state, a transition occurs for the maximum entanglement entropy during the time evolution, which agrees well with the entanglement transition for the steady state of the dynamics under periodic boundary conditions.

Related papers

• Time-dependent Neural Galerkin Method for Quantum Dynamics [42.81677042059531]
  We introduce a classical computational method for quantum dynamics that relies on a global-in-time variational principle. We showcase the method's effectiveness simulating global quantum quenches in the paradigmatic Transverse-Field Ising model in both 1D and 2D. Overall, the method presented here shows competitive performance compared to state-of-the-art time-dependent variational approaches.
  arXiv  Detail & Related papers  (2024-12-16T13:48:54Z)
• Dissipative Dynamical Phase Transition as a Complex Ising Model [0.0]
  We investigate a quantum dynamical phase transition induced by the competition between local unitary evolution and dissipation in a qubit chain. We show that the dynamical behavior of certain non-local observables is dictated by a quantum Ising model with a $textitcomplex$ transverse-field (cTFIM) We show that the weak-dissipation limit corresponds to a cTFIM with a large magnitude of the imaginary transverse-field.
  arXiv  Detail & Related papers  (2024-12-12T18:56:36Z)
• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Mean-field dynamics of an infinite-range interacting quantum system: chaos, dynamical phase transition, and localisation [0.0]
  We investigate the dynamical properties of the XY spin 1/2 chain with infinite-range transverse interactions. We find non-vanishing finite-time Lyapunov exponents and intermittent behavior signaled by fast and slow entropy growth periods.
  arXiv  Detail & Related papers  (2023-10-18T13:21:40Z)
• 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)
• Controlling entanglement at absorbing state phase transitions in random circuits [0.0]
  We study the entanglement entropy behavior at the absorbing state phase transition. For short-range control operations, we observe a transition between phases with distinct sub-extensive scalings of entanglement entropy. Our results shed new light on the problem of observability of measurement-induced phase transitions.
  arXiv  Detail & Related papers  (2022-12-28T13:49:43Z)
• Damping transition in an open generalized Aubry-Andr\'e-Harper model [0.9239657838690226]
  We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order. Due to the non-Hermitian skin effect, the damping dynamics is boundary sensitive. We propose a possible scheme with ultracold atoms in a dissipative momentum lattice to realize and detect the damping dynamics.
  arXiv  Detail & Related papers  (2021-09-27T11:21:31Z)
• 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)
• 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)
• Universality of entanglement transitions from stroboscopic to continuous measurements [68.8204255655161]
  We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable. This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
  arXiv  Detail & Related papers  (2020-05-04T21:45:59Z)

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.