Controlling local thermal states in classical many-body systems

• URL: http://arxiv.org/abs/2208.09185v2
• Date: Fri, 28 Oct 2022 07:15:00 GMT
• Title: Controlling local thermal states in classical many-body systems
• Authors: Philippe Ben-Abdallah, Alejandro W. Rodriguez
• Abstract summary: We lay the theoretical foundations for the active control of local thermal states in arbitrary non-reciprocal systems. We consider several representative examples in the context of systems exchanging heat radiatively.
• Score: 77.34726150561087
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The process of thermalization in many-body systems is driven by complex interactions among sub-systems and with the surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary non-reciprocal systems close to their equilibrium state. In particular we describe how to (i) force some part of the system to evolve according to a prescribed law during the relaxation process (i.e. thermal targeting probem), (ii) insulate some elements from the rest of the system or (iii) synchronize their evolution during the relaxation process. We also derive the general conditions a system must fulfill in order that some parts relax toward a minimal temperature with a minimum energetic cost or relax toward a prescribed temperature with a minimum time. Finally, we consider several representative examples in the context of systems exchanging heat radiatively.

Related papers

• Thermodynamic Roles of Quantum Environments: From Heat Baths to Work Reservoirs [49.1574468325115]
  Environments in quantum thermodynamics usually take the role of heat baths. We show that within the same model, the environment can take three different thermodynamic roles. The exact role of the environment is determined by the strength and structure of the coupling.
  arXiv  Detail & Related papers  (2024-08-01T15:39:06Z)
• Cascaded dynamics of a periodically driven dissipative dipolar system [0.0]
  periodic drives on dipolar systems lead to long-lived prethermal states. We use a fluctuation-regulated quantum master equation (FRQME) to describe these systems. We show that these prethermal states emerge in a timescale much shorter than the relaxation timescale.
  arXiv  Detail & Related papers  (2022-11-28T17:49:37Z)
• Heat transfer mediated by the Berry-phase in non-reciprocal many-body systems [0.0]
  We show that besides the dynamical phase a geometrical phase can exist and it drives the relaxation dynamic of the system. Results could have applications in the field of thermal management of complex systems.
  arXiv  Detail & Related papers  (2022-09-24T18:35:52Z)
• Heat transport and cooling performance in a nanomechanical system with local and non local interactions [68.8204255655161]
  We study heat transport through a one dimensional time-dependent nanomechanical system. The system presents different stationary transport regimes depending on the driving frequency, temperature gradients and the degree of locality of the interactions.
  arXiv  Detail & Related papers  (2022-02-21T12:03:54Z)
• 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)
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime [68.8204255655161]
  We develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. We observe the appearance of a new term of work, which represents the energy cost of rotating the Bloch vector in presence of the external field that defines the local Hamiltonian. In order to illustrate our findings we study, from both perspectives, matter-radiation interaction processes for two different systems.
  arXiv  Detail & Related papers  (2021-03-16T09:31:20Z)
• A qubit strongly interacting with a bosonic environment: Geometry of thermal states [0.0]
  Zurek's theory of einselection predicts that the decoherence takes place in the so-called pointer basis under the strong coupling regime. We have postulated that the thermals state in the strong coupling limit is a Gibbs state projected onto the pointer basis.
  arXiv  Detail & Related papers  (2020-10-19T04:08:39Z)
• Prethermalization of quantum systems interacting with non-equilibrium environments [0.0]
  We study a two level system coupled to a first thermal reservoir that in turn couples to a second thermal bath at a different temperature. We observe prethermalization, a transitory phenomenon in which the system initially approaches thermal equilibrium with respect to the first reservoir. In this case, the energy current through the system may exhibit transient features and even switch direction, before the system eventually reaches a non-equilibrium steady state.
  arXiv  Detail & Related papers  (2020-05-15T09:46:51Z)
• Out-of-equilibrium quantum thermodynamics in the Bloch sphere: temperature and internal entropy production [68.8204255655161]
  An explicit expression for the temperature of an open two-level quantum system is obtained. This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir. We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
  arXiv  Detail & Related papers  (2020-04-09T23:06:43Z)

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.