Finite-time quantum equilibration for continuous variables

• URL: http://arxiv.org/abs/2412.00982v2
• Date: Tue, 11 Mar 2025 23:00:20 GMT
• Title: Finite-time quantum equilibration for continuous variables
• Authors: Alberto Acevedo, Antonio Falco,
• Abstract summary: We develop the theory of Quantum Equilibration for the case of infinite-dimensional systems.<n>The main goal of this paper will be to propose a framework to extend the results obtained by Short in.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Leveraging the techniques found in the literature on Quantum Equilibration for finite dimensional systems, we develop the theory of Quantum Equilibration for the case of infinite-dimensional systems, particularly the cases where the dynamics-generating Hamiltonians have continuous spectrum. The main goal of this paper will be to propose a framework to extend the results obtained by Short in, where estimates for the equilibration-on-average and effective equilibration for the case of Hamiltonians with continuous spectrum are derived. We will show that in the latter setting, it is compulsory to constrain ourselves to finite time equilibration; we then develop estimates analogous to the main results in the proposed setting.

Related papers

• Powering a quantum clock with a non-equilibrium steady state [50.24983453990065]
  We propose powering a quantum clock with the non-thermal resources offered by the stationary state of an integrable quantum spin chain. Using experimentally relevant examples of quantum spin chains, we suggest crossing a phase transition point is crucial for optimal performance.
  arXiv  Detail & Related papers  (2024-12-17T17:25:11Z)
• Exact model reduction for discrete-time conditional quantum dynamics [0.0]
  We propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable. The method is presented for general quantum systems whose dynamics depend on measurement outcomes, hinges on a system-theoretic observability analysis, and is tested on examples.
  arXiv  Detail & Related papers  (2024-03-19T09:34:13Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• Effective Description of the Quantum Damped Harmonic Oscillator: Revisiting the Bateman Dual System [0.3495246564946556]
  We present a quantization scheme for the damped harmonic oscillator (QDHO) using a framework known as momentous quantum mechanics. The significance of our study lies in its potential to serve as a foundational basis for the effective description of open quantum systems.
  arXiv  Detail & Related papers  (2023-09-06T03:53:09Z)
• Continuously Monitored Quantum Systems beyond Lindblad Dynamics [68.8204255655161]
  We study the probability distribution of the expectation value of a given observable over the possible quantum trajectories. The measurements are applied to the entire system, having the effect of projecting the system into a product state.
  arXiv  Detail & Related papers  (2023-05-06T18:09:17Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Quantum Equilibrium in Stochastic de Broglie-Bohm-Bell Quantum Mechanics [0.0]
  This paper investigates dynamical relaxation to quantum equilibrium in the de Broglie-Bohm-Bell formulation of quantum mechanics. Numerical simulations confirm previous findings that indicate that de Broglie-Bohm-Bell dynamics allows an arbitrary initial probability distribution to relax to quantum equilibrium.
  arXiv  Detail & Related papers  (2022-07-03T10:56:03Z)
• Lindbladian dissipation of strongly-correlated quantum matter [0.9290757451344674]
  The Sachdev-Ye-Kitaev Lindbladian is a paradigmatic solvable model of dissipative many-body quantum chaos. Analytical progress is possible by developing a mean-field theory for the Liouvillian time evolution on the Keldysh contour.
  arXiv  Detail & Related papers  (2021-12-22T18:17:52Z)
• Relaxation of non-integrable systems and correlation functions [0.0]
  We investigate early-time equilibration rates of observables in closed many-body quantum systems. We find evidence for this coincidence when the initial conditions are sufficiently generic, or typical. Our findings are confirmed by proving that these different timescales coincide for dynamics generated by Haar-random Hamiltonians.
  arXiv  Detail & Related papers  (2021-12-17T12:34:34Z)
• Equilibration of Non-Markovian Quantum Processes in Finite Time Intervals [0.0]
  Quantum processes are shown, within finite time intervals and for finite dimensional time Hamiltonians, to be close to a corresponding stationary equilibrium process. This dictates conditions on time scales at when the multitime statistics of any arbitrary non-equilibrium quantum process look equilibrium on average.
  arXiv  Detail & Related papers  (2021-12-02T10:18:36Z)
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law [0.0]
  Recent theoretical work has shown that the competition between coherent unitary dynamics and measurements can give rise to transitions in the entanglement scaling. We consider an engineered dissipation, which stabilizes an entangled phase of a quantum spin$-1/2$ chain. We find that the system undergoes an entanglement transition from a logarithmic growth to an area law when the competition ratio between the unitary evolution and the non-unitary dynamics increases.
  arXiv  Detail & Related papers  (2021-06-18T12:41:01Z)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• Quantized dynamics in closed quantum systems [0.0]
  We propose an approach to process data from interferometric measurements on a closed quantum system at random times. A classical limit exists which is separated from the quantum fluctuations. Some generic properties are linked to a quantized Berry phase.
  arXiv  Detail & Related papers  (2020-12-07T14:15:46Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)

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.