Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations

• URL: http://arxiv.org/abs/2404.15144v1
• Date: Tue, 23 Apr 2024 15:49:27 GMT
• Title: Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations
• Authors: Jeanne Bourgeois, Gianmichele Blasi, Shishir Khandelwal, Géraldine Haack,
• Abstract summary: Entanglement engines generate entanglement from the presence of a particle current flowing through the device. We derive the time-dependent state, the particle current, as well as the associated current correlation functions. We then apply our results to investigate kinetic uncertainty relations (KURs) at finite times.
• Score: 10.310620862420064
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement engines are autonomous quantum thermal machines designed to generate entanglement from the presence of a particle current flowing through the device. In this work, we investigate the functioning of a two-qubit entanglement engine beyond the steady-state regime. Within a master equation approach, we derive the time-dependent state, the particle current, as well as the associated current correlation functions. Our findings establish a direct connection between coherence and internal current, elucidating the existence of a critical current that serves as an indicator for entanglement in the steady state. We then apply our results to investigate kinetic uncertainty relations (KURs) at finite times. We demonstrate that there are more than one possible definitions for KURs at finite times. While the two definitions agree in the steady-state regime, they lead to different parameter's ranges for violating KUR at finite times.

Related papers

• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Quantum trajectories of dissipative time-crystals [0.0]
  We show that the photon count signal as well as the homodyne current allow to identify and characterize critical behavior at the time-crystal phase transition. The average time between these fluctuation events shows a power-law scaling with system size. We furthermore show that the time-integrated homodyne current can serve as a useful dynamical order parameter.
  arXiv  Detail & Related papers  (2022-12-13T10:20:00Z)
• Unified thermodynamic-kinetic uncertainty relation [3.480626767752489]
  We derive a tighter bound on the precision of currents in terms of both thermodynamic and kinetic quantities. The unified thermodynamic-kinetic uncertainty relation leads to a tighter classical speed limit. The proposed framework can be extended to apply to state observables and systems with unidirectional transitions.
  arXiv  Detail & Related papers  (2022-03-22T07:22:16Z)
• 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)
• Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
  We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
  arXiv  Detail & Related papers  (2021-12-21T19:57:30Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Entanglement dynamics governed by time-dependent quantum generators [0.0]
  We consider multilevel quantum systems coupled to an environment that induces decoherence and dissipation, such that the relaxation rates depend on time. By applying the condition of partial commutativity, one can precisely describe the dynamics of selected subsystems.
  arXiv  Detail & Related papers  (2021-08-03T18:00:00Z)
• 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)
• Flow Renormalization and Emergent Prethermal Regimes of Periodically-Driven Quantum Systems [0.0]
  We develop a flow renormalization approach for periodically-driven quantum systems. We show that the renormalization flow has an elegant representation in terms of a flow of matrix product operators.
  arXiv  Detail & Related papers  (2021-03-12T19:02:20Z)
• Out-of-time-order correlations and the fine structure of eigenstate thermalisation [58.720142291102135]
  Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation. We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH) We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
  arXiv  Detail & Related papers  (2021-03-01T17:51:46Z)
• Decoherence-free mechanism to protect long-range entanglement against decoherence [0.0]
  We report the creation of long-range entanglement in dynamics both in the absence and presence of system-bath interactions. We find that for a fixed range of entanglement, there exists a critical value of interaction length which leads to the maximum freezing terminal.
  arXiv  Detail & Related papers  (2020-12-23T18:48:36Z)

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.