Perturbation Analysis of Quantum Reset Models

• URL: http://arxiv.org/abs/2009.03054v2
• Date: Tue, 5 Oct 2021 15:18:18 GMT
• Title: Perturbation Analysis of Quantum Reset Models
• Authors: G\'eraldine Haack and Alain Joye
• Abstract summary: We study the dynamics of tri-partite quantum systems subject to resets. We prove the existence of a unique steady state for the reset Lindbladian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete exemples corresponding to realistic open quantum systems.

Related papers

• Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
  This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
  arXiv  Detail & Related papers  (2025-05-13T05:32:34Z)
• Quantisations of exactly solvable ghostly models [0.0]
  We investigate an exactly solvable two-dimensional Lorentzian coupled quantum system. We map it onto the standard Pais-Uhlenbeck formulation. We report several specific physical properties of the ghost model investigated.
  arXiv  Detail & Related papers  (2025-03-27T12:39:52Z)
• Designing open quantum systems with known steady states: Davies generators and beyond [0.9903198600681908]
  We provide a systematic framework for constructing generic models of nonequilibrium quantum dynamics with a target stationary (mixed) state. We focus on Gibbs states of stabilizer Hamiltonians, identifying local Lindbladians compatible therewith by constraining the rates of dissipative and unitary processes. Our methods also reveal new models of quantum dynamics: for example, we provide a "measurement-induced phase transition" in which measurable two-point functions exhibit critical (power-law) scaling with distance at a critical ratio of the transverse field and rate of measurement and feedback.
  arXiv  Detail & Related papers  (2024-04-22T19:21:34Z)
• Entropy Production of Quantum Reset Models [0.0]
  We analyze the entropy production of Quantum Reset Models (QRMs) corresponding to quantum dynamical semigroups driven by Lindbladians. We apply these results to a physically motivated model and exhibit explicit expressions for the leading orders steady-state solution, entropy production and entropy flux.
  arXiv  Detail & Related papers  (2024-01-18T14:44:07Z)
• Generating Entanglement by Quantum Resetting [0.0]
  We consider a closed quantum system subjected to Poissonian resetting with rate $r$ to its initial state. We show that quantum resetting provides a simple and effective mechanism to enhance entanglement between two parts of an interacting quantum system.
  arXiv  Detail & Related papers  (2023-07-14T17:12:08Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting [0.0]
  We consider Markovian open quantum systems subject to resetting. We show that the dynamics is non-Markovian and has the form of a generalized Lindblad equation.
  arXiv  Detail & Related papers  (2021-12-09T18:11:02Z)
• Interacting bosons in a triple well: Preface of many-body quantum chaos [0.0]
  We investigate the onset of quantum chaos in a triple-well model that moves away from integrability as its potential gets tilted. Even in its deepest chaotic regime, the system presents features reminiscent of integrability.
  arXiv  Detail & Related papers  (2021-11-26T19:00:03Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Semiclassical simulations predict glassy dynamics for disordered Heisenberg models [0.0]
  We numerically study out-of-equilibrium dynamics in a family of Heisenberg models with $1/r6$ power-law interactions and positional disorder. We find that both quantities display robust glassy behavior for almost any value of the anisotropy parameter of the Heisenberg Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-28T12:26:57Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)

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.