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Related papers: Statistics of work distribution in periodically dr…

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We study the work statistics of a periodically-driven integrable closed quantum system, addressing in particular the role played by the presence of a quantum critical point. Taking the example of a one-dimensional transverse Ising model in…

Quantum Physics · Physics 2015-11-20 Angelo Russomanno , Shraddha Sharma , Amit Dutta , Giuseppe E. Santoro

We have studied statistical properties of the values of the Wigner function W(x) of 1D quantum maps on compact 2D phase space of finite area V. For this purpose we have defined a Wigner function probability distribution P(w) = (1/V) int…

Quantum Physics · Physics 2009-11-13 Martin Horvat , Tomaz Prosen

We study the work statistics of a measurement-based quantum Otto engine, where quantum non-selective measurements are used to fuel the engine, in a coupled spin working system (WS). The WS exhibits quantum coherence in the energy eigenbasis…

Quantum Physics · Physics 2025-05-27 Chayan Purkait , Shubhrangshu Dasgupta , Asoka Biswas

We investigate the work fluctuations in an overdamped non-equilibrium process that is stopped at a stochastic time. The latter is characterized by a first passage event that marks the completion of the non-equilibrium process. In…

Statistical Mechanics · Physics 2024-03-20 Iago N Mamede , Prashant Singh , Arnab Pal , Carlos E. Fiore , Karel Proesmans

We present a theory of quantum work statistics in generic chaotic, disordered Fermi liquid systems within a driven random matrix formalism. By extending P. W. Anderson's orthogonality determinant formula to compute quantum work…

Mesoscale and Nanoscale Physics · Physics 2023-03-16 András Grabarits , Márton Kormos , Izabella Lovas , Gergely Zaránd

We present a general scheme to obtain work distribution in closed systems under continuous quantum histories of corresponding "power" operator. The scheme is tested by analytically calculating the quantum work distribution for a prototype…

Statistical Mechanics · Physics 2013-04-24 Huanan Li , Jian-Sheng Wang

We use the quantum work statistics to characterize the controlled dynamics governed by a counterdiabatic driving field. Focusing on the Shannon entropy of the work probability distribution, $P(W)$, we demonstrate that the thermodynamics of…

Quantum Physics · Physics 2023-10-13 Steve Campbell

We consider a quantum system driven out of equilibrium via a small Hamiltonian perturbation. Building on the paradigmatic framework of linear response theory (LRT), we derive an expression for the full generating function of the dissipated…

Quantum Physics · Physics 2024-08-28 Giacomo Guarnieri , Jens Eisert , Harry J. D. Miller

In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we study an anharmonic oscillator driven by a periodic external…

Statistical Mechanics · Physics 2020-08-26 Mattes Heerwagen , Andreas Engel

An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered from a fully new perspective of…

Quantum Physics · Physics 2020-02-26 Bao-Ming Xu , Zhan-Chun Tu , Jian Zou

We compute the quantum work distribution for a driven Morse oscillator. To this end, we solve the time-dependent dynamics for a scale-invariant process, from which the exact expressions for the transition probabilities are found. Special…

Statistical Mechanics · Physics 2014-11-21 Alison Leonard , Sebastian Deffner

In this paper, we systematically study the work statistics for quantum phase transition. For a quantum system approached by an anisotropic conformal field theory near the critical point, the driving protocols is divided into three different…

Statistical Mechanics · Physics 2021-05-05 Zhaoyu Fei , C. P. Sun

We consider the dynamics of an isolated quantum many-body system after a sudden change of one control parameter, focusing on the statistics of the work done. We establish a connection between the generating function of the distribution of…

Statistical Mechanics · Physics 2011-06-15 Andrea Gambassi , Alessandro Silva

We determine the conditions under which the presence of long-range interactions reduce the energy losses due to defect generation during non-adiabatic evolution, crucial for enhancing the power to efficiency ratio of quantum thermal…

Statistical Mechanics · Physics 2025-04-07 Andrea Solfanelli , Nicolò Defenu

Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the…

Quantum Physics · Physics 2019-03-07 Aurélia Chenu , Javier Molina-Vilaplana , Adolfo del Campo

A universal relation is established between the quantum work probability distribution of an isolated driven quantum system and the Loschmidt echo dynamics of a two-mode squeezed state. When the initial density matrix is canonical, the…

Quantum Physics · Physics 2018-08-24 Aurélia Chenu , Iñigo L. Egusquiza , Javier Molina-Vilaplana , Adolfo del Campo

Driving a quantum many-body system across the quantum phase transition (QPT) in the finite time has been concerned in different branches of physics to explore various fundamental questions. Here, we analyze how the underlying QPT affects…

Quantum Gases · Physics 2025-04-09 Zhen-Xia Niu

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

Quantum Physics · Physics 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

In quadratic fermionic models we determine a quantum correction to the work statistics after a sudden and a time-dependent driving. Such a correction lies in the non-commutativity of the initial quantum state and the time-dependent…

Quantum Physics · Physics 2023-09-12 Alessandro Santini , Andrea Solfanelli , Stefano Gherardini , Mario Collura

We study periodically driven closed systems with a long-ranged Hamiltonian by considering a generalized Kitaev chain with pairing terms which decay with distance as a power law characterized by exponent $\alpha$. Starting from an initial…

Strongly Correlated Electrons · Physics 2018-07-13 Sourav Nandy , K. Sengupta , Arnab Sen
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