Modified Landauer's principle: How much can the Maxwell's demon gain by
using general system-environment quantum state?
- URL: http://arxiv.org/abs/2309.09678v1
- Date: Mon, 18 Sep 2023 11:35:44 GMT
- Title: Modified Landauer's principle: How much can the Maxwell's demon gain by
using general system-environment quantum state?
- Authors: Sayan Mondal, Aparajita Bhattacharyya, Ahana Ghoshal, Ujjwal Sen
- Abstract summary: The Landauer principle states that decrease in entropy of a system inevitably leads to a dissipation of heat to the environment.
Here we show that a modified Landauer principle, with correction terms, still holds even if the system and environment are initially correlated.
- Score: 0.8192907805418583
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Landauer principle states that decrease in entropy of a system,
inevitably leads to a dissipation of heat to the environment. This statement is
usually established by considering the system to be in contact with an
environment that is initially in a thermal state with the system-environment
initial state being in a product state. Here we show that a modified Landauer
principle, with correction terms, still holds even if the system and
environment are initially correlated and the environment is in an athermal
state. Furthermore, we consider a case where the system is in contact with a
large athermal environment, such that the system dynamics allow Born-Markov
approximations, and we derive the finite-time modified Landauer's bound for the
same.
Related papers
- Effective time-dependent temperature for fermionic master equations beyond the Markov and the secular approximations [0.0]
We consider a quantum system coupled to environment at a fixed temperature.
We describe the reduced evolution of the system by means of a Redfield equation with effective time-dependent contact temperature obeying a universal law.
arXiv Detail & Related papers (2024-03-15T17:53:04Z) - Quantum Fisher Information for Different States and Processes in Quantum
Chaotic Systems [77.34726150561087]
We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix.
We compare our results with earlier results for a local unitary transformation.
arXiv Detail & Related papers (2023-04-04T09:28:19Z) - Controlling local thermal states in classical many-body systems [77.34726150561087]
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.
arXiv Detail & Related papers (2022-08-19T07:08:19Z) - Decoherence and Landauer's Principle in Qubit-Cavity
Quantum-Field-Theory Interaction [8.484238271350424]
We consider decoherence and Landauer's principle in qubit-cavity quantum field theory (QFT) interaction.
We investigate the changes that occur in the system with a pure initial state and environment during the decoherence process.
arXiv Detail & Related papers (2022-07-14T07:16:39Z) - 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) - Page Curve from Non-Markovianity [4.759925918369102]
We find that at the initial stage, the entropy always increases linearly matching the Markovian result.
We argue that this physical scenario revealed by the exact solution of the Sachdev-Ye-Kitaev model is universally applicable for general chaotic quantum many-body systems.
arXiv Detail & Related papers (2021-01-27T07:36:54Z) - 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.