Detailed fluctuation theorem from the one-time measurement scheme
- URL: http://arxiv.org/abs/2306.09578v3
- Date: Fri, 17 Nov 2023 16:09:01 GMT
- Title: Detailed fluctuation theorem from the one-time measurement scheme
- Authors: Kenji Maeda and Tharon Holdsworth and Sebastian Deffner and Akira Sone
- Abstract summary: We study the quantum fluctuation theorem in the one-time measurement (OTM) scheme.
We derive the detailed fluctuation theorem in the OTM scheme for the characteristic functions of the forward and backward work distributions.
Our result clarifies that the laws of thermodynamics at the nanoscale are dependent on the choice of the measurement.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the quantum fluctuation theorem in the one-time measurement (OTM)
scheme, where the work distribution of the backward process has been lacking
and which is considered to be more informative than the two-time measurement
(TTM) scheme. We find that the OTM scheme is the quantum nondemolition TTM
scheme, in which the final state is a pointer state of the second measurement
whose Hamiltonian is conditioned on the first measurement outcome. Then, by
clarifying the backward work distribution in the OTM scheme, we derive the
detailed fluctuation theorem in the OTM scheme for the characteristic functions
of the forward and backward work distributions, which captures the detailed
information about the irreversibility and can be applied to quantum
thermometry. We also verified our conceptual findings with the IBM quantum
computer. Our result clarifies that the laws of thermodynamics at the nanoscale
are dependent on the choice of the measurement and may provide experimentalists
with a concrete strategy to explore laws of thermodynamics at the nanoscale by
protecting quantum coherence and correlations.
Related papers
- A note on two-times measurement entropy production and modular theory [0.0]
We study the two-times measurement entropy production (2TMEP) in quantum statistical mechanics.
We show that under general ergodicity assumptions the 2TEMP is essentially independent of the choice of the system state at the instant of the first measurement.
This stability sheds a new light on the concept of quantum entropy production, and, in particular, on possible quantum formulations of the celebrated classical Gallavotti--Cohen Fluctuation Theorem.
arXiv Detail & Related papers (2023-10-16T16:56:48Z) - Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes [0.0]
We derive a novel fluctuation theorem and the associated second law of information thermodynamics.
In our second law, the entropy production is bounded by the coarse-grained entropy production which is inferrable from the measurement outcomes.
We illustrate our results by a qubit undergoing discrete and continuous measurement, where our approach provides a useful bound on the entropy production for all measurement strengths.
arXiv Detail & Related papers (2023-06-21T14:09:30Z) - Full counting statistics as probe of measurement-induced transitions in
the quantum Ising chain [62.997667081978825]
We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization.
In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
arXiv Detail & Related papers (2022-12-19T12:34:37Z) - Joint measurability in nonequilibrium quantum thermodynamics [0.0]
We investigate the concept of quantum work and its measurability from the viewpoint of quantum measurement theory.
We show that the no-go theorem no longer holds if the observables in a TPM scheme are jointly measurable for any intermediate unitary evolution.
arXiv Detail & Related papers (2021-11-04T13:28:40Z) - 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) - From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation.
We describe quantum decays in a 2-level system as coherent and continuous processes.
arXiv Detail & Related papers (2021-07-29T18:27:38Z) - Experimental verification of fluctuation relations with a quantum
computer [68.8204255655161]
We use a quantum processor to experimentally validate a number of theoretical results in non-equilibrium quantum thermodynamics.
Our experiments constitute the experimental basis for the understanding of the non-equilibrium energetics of quantum computation.
arXiv Detail & Related papers (2021-06-08T14:16:12Z) - Measurement, information, and disturbance in Hamiltonian mechanics [0.0]
Measurement in classical physics is examined as a process involving the joint evolution of object-system and measuring apparatus.
A model of measurement is proposed which lends itself to theoretical analysis using Hamiltonian mechanics and Bayesian probability.
The process of continuous measurement is then examined; yielding a novel pair of Liouville-like master equations.
arXiv Detail & Related papers (2021-04-05T06:09:28Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z) - Information Fluctuation Theorem for an Open Quantum Bipartite System [7.794211366198158]
We study an arbitrary non-equilibrium dynamics of a quantum bipartite system coupled to a reservoir.
We designate the local and the global states altogether in the time-forward and the time-reversed transition probabilities.
arXiv Detail & Related papers (2020-05-21T08:52:49Z) - Quantum Statistical Complexity Measure as a Signalling of Correlation
Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions.
We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain.
We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z)
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.