Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics

• URL: http://arxiv.org/abs/2204.11102v2
• Date: Thu, 15 Dec 2022 20:54:02 GMT
• Title: Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Authors: David Gu\'ery-Odelin, Christopher Jarzynski, Carlos A. Plata, Antonio Prados and Emmanuel Trizac
• Abstract summary: thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production. We review the different strategies that have been developed to realize finite-time state-to-state in both over and underdamped regimes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic equations of motion, introduces time into the description of thermodynamic processes -- which opens the way to fine control them. As a result, the field of finite-time thermodynamics of mesoscopic systems has blossomed. In this article, after introducing a few concepts of control for isolated mechanical systems evolving according to deterministic equations of motion, we review the different strategies that have been developed to realize finite-time state-to-state transformations in both over and underdamped regimes, by the proper design of time-dependent control parameters/driving. The systems under study are stochastic, epitomized by a Brownian object immersed in a fluid; they are thus strongly coupled to their environment playing the role of a reservoir. Interestingly, a few of those methods (inverse engineering, counterdiabatic driving, fast-forward) are directly inspired by their counterpart in quantum control. The review also analyzes the control through reservoir engineering. Besides the reachability of a given target state from a known initial state, the question of the optimal path is discussed. Optimality is here defined with respect to a cost function, a subject intimately related to the field of information thermodynamics and the question of speed limit. Another natural extension discussed deals with the connection between arbitrary states or non-equilibrium steady states. This field of control in stochastic thermodynamics enjoys a wealth of applications, ranging from optimal mesoscopic heat engines to population control in biological systems.

Related papers

• Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory [0.0]
  Microscopic thermal machines promise to play an important role in future quantum technologies. Making such devices widely applicable will require effective strategies to channel their output into easily accessible storage systems like classical degrees of freedom. Here, we develop a self-consistent theoretical framework that makes it possible to model such quantum-classical hybrid devices in a thermodynamically consistent manner.
  arXiv  Detail & Related papers  (2024-04-15T20:13:42Z)
• Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach [0.0]
  Understanding the thermodynamics of driven quantum systems strongly coupled to thermal baths is a central focus of quantum thermodynamics and mesoscopic physics. The mesoscopic leads approach was recently generalised to steady state thermal machines and has the ability to replicate Landauer B"uttiker theory in the non-interacting limit.
  arXiv  Detail & Related papers  (2022-06-02T15:15:59Z)
• Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost [0.0]
  We study the problem of speeding up the population inversion of a two-level quantum system. The fidelity of the dynamics versus systematic errors in the control parameters are shown to be comparable with other STA schemes.
  arXiv  Detail & Related papers  (2022-04-29T20:27:02Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• 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)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• The problem of engines in statistical physics [62.997667081978825]
  Engines are open systems that can generate work cyclically, at the expense of an external disequilibrium. Recent advances in the theory of open quantum systems point to a more realistic description of autonomous engines. We show how the external loading force and the thermal noise may be incorporated into the relevant equations of motion.
  arXiv  Detail & Related papers  (2021-08-17T03:59:09Z)
• Relating Heat and Entanglement in Strong Coupling Thermodynamics [0.0]
  We develop a new approach to study thermodynamics in the strong coupling regime. We apply the method to calculate the time-dependent thermodynamic properties of a system and an environment. The results indicate that the transient imbalance between heat dissipated and heat absorbed is responsible for the generation of system-environment entanglement.
  arXiv  Detail & Related papers  (2021-04-13T05:36:21Z)
• Bridging the Gap Between the Transient and the Steady State of a Nonequilibrium Quantum System [58.720142291102135]
  Many-body quantum systems in nonequilibrium remain one of the frontiers of many-body physics. Recent work on strongly correlated electrons in DC electric fields illustrated that the system may evolve through successive quasi-thermal states. We demonstrate an extrapolation scheme that uses the short-time transient calculation to obtain the retarded quantities.
  arXiv  Detail & Related papers  (2021-01-04T06:23:01Z)
• Geometric optimisation of quantum thermodynamic processes [0.0]
  Differential geometry offers a powerful framework for characterising finite-time thermodynamic processes. We develop some general principles for the optimisation of thermodynamic processes in the linear-response regime. These include constant speed of control variation according to the thermodynamic metric, absence of quantum coherence, and optimality of small cycles.
  arXiv  Detail & Related papers  (2020-08-31T13:32:05Z)
• 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)

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.