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Quantum dynamics controlled by a time-dependent coupling constant are studied. It is proven that an energy eigenstate expectation value of work done by the system in a quench process cannot exceed the work in the corresponding quasi-static…

统计力学 · 物理学 2020-09-04 C. Itoi , M. Amano

We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated…

统计力学 · 物理学 2007-05-23 Anatoli Polkovnikov

We discuss the thermodynamics of closed quantum systems driven out of equilibrium by a change in a control parameter and undergoing a unitary process. We compare the work actually done on the system with the one that would be performed…

量子物理 · 物理学 2015-01-20 F. Plastina , A. Alecce , T. J. G. Apollaro , G. Falcone , G. Francica , F. Galve , N. Lo Gullo , R. Zambrini

Adiabaticity is a cornerstone of many promising approaches to quantum control, computing, and simulation. In practice, however, there is always a trade-off. Although the deleterious effects of noise can be diminished by running a control…

量子物理 · 物理学 2025-06-23 Pavel Zhelnin , Lucas Johns , Carlos A. Argüelles

We study how Thomson's formulation of the second law: no work is extracted from an equilibrium ensemble by a cyclic process, emerges in the quantum situation through the averaging over fluctuations of work. The latter concept is carefully…

统计力学 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

量子物理 · 物理学 2008-09-24 Gernot Schaller

A reciprocating quantum refrigerator is studied with the purpose of determining the limitations of cooling to absolute zero. We find that if the energy spectrum of the working medium possesses an uncontrollable gap, then there is a minimum…

量子物理 · 物理学 2009-09-08 Tova Feldmann , Ronnie Kosloff

Understanding the fundamental constraint on work far beyond the adiabatic regime is crucial to investigating fast and efficient energy extraction or consumption processes. In this study, we derive thermodynamic speed limits for…

量子物理 · 物理学 2025-05-16 Aoi Yamauchi , Rihito Nagase , Kaixin Li , Takahiro Sagawa , Ken Funo

The central quantity in the celebrated quantum Jarzynski equality is $e^{-\beta W}$, where $W$ is work and $\beta$ is the inverse temperature. The impact of quantum randomness on the fluctuations of $e^{-\beta W}$ and hence on the…

量子物理 · 物理学 2023-10-24 Wei Cheng , Wenquan Liu , Yang Wu , Zhibo Niu , Chang-Kui Duan , Jiangbin Gong , Xing Rong , Jiangfeng Du

For an overdamped colloidal particle diffusing in a fluid in a controllable, virtual potential, we show that arbitrarily slow transformations, produced by smooth deformations of a double-well potential, need not be reversible. The…

统计力学 · 物理学 2018-11-06 Momčilo Gavrilov , John Bechhoefer

Optimal performance of thermal machines is reached by suppressing friction. Friction in quantum thermodynamics results from fast driving schemes that generate nonadiabatic excitations. The far-from-equilibrium dynamics of quantum devices…

量子气体 · 物理学 2018-05-01 Shujin Deng , Aurélia Chenu , Pengpeng Diao , Fang Li , Shi Yu , Ivan Coulamy , Adolfo del Campo , Haibin Wu

The second law of thermodynamics states that entropy production in macroscopic systems is non-negative, reaching zero only at thermodynamic equilibrium. As a corollary, this implies that the state trajectory of macroscopic systems is…

统计力学 · 物理学 2025-01-30 O. Politano , Alejandro L. Garcia , F. Baras , M. Malek Mansour

The second law of thermodynamics, formulated as an ultimate bound on the maximum extractable work, has been rigorously derived in multiple scenarios. However, the unavoidable limitations that emerge due to the lack of control on small…

量子物理 · 物理学 2016-04-27 H. Wilming , R. Gallego , J. Eisert

The quantum Ising chain has shortcuts to adiabaticity when operated with weak processes. However, when exactly do the non-equilibrium effects of the Kibble-Zurek mechanism, inherent to the system, appear in the optimal protocols in such a…

量子物理 · 物理学 2023-06-18 Pierre Nazé

For macroscopic systems, the second law of thermodynamics establishes an inequality between the amount of work performed on a system in contact with a thermal reservoir, and the change in its free energy. For microscopic systems, this…

统计力学 · 物理学 2010-02-08 Eliran Boksenbojm , Bram Wynants , Christopher Jarzynski

Quantum annealing is guaranteed to find the ground state of optimization problems in the adiabatic limit. Recent work [Phys. Rev. X 6, 031010 (2016)] has found that for some barrier tunneling problems, quantum annealing can be run much…

量子物理 · 物理学 2017-04-05 Lucas T. Brady , Wim van Dam

At present, several models for quantum computation have been proposed. Adiabatic quantum computation scheme particularly offers this possibility and is based on a slow enough time evolution of the system, where no transitions take place. In…

量子物理 · 物理学 2012-10-12 P. J. Salas Peralta

A quantum thermodynamic cycle with a chiral multiferroic working substance such as $\textrm{LiCu}_{2}\textrm{O}_{2}$ is presented. Shortcuts to adiabaticity are employed to achieve an efficient, finite time quantum thermodynamic cycle which…

量子物理 · 物理学 2016-09-22 L. Chotorlishvili , M. Azimi , S. Stagraczyński , Z. Toklikishvili , M. Schüler , J. Berakdar

The adiabatic theorem is a fundamental result established in the early days of quantum mechanics, which states that a system can be kept arbitrarily close to the instantaneous ground state of its Hamiltonian if the latter varies in time…

量子气体 · 物理学 2022-06-01 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

The quantum adiabatic theorem, a cornerstone of quantum mechanics, asserts that a gapped quantum system remains in its instantaneous eigenstate during sufficiently slow evolution, provided no resonances occur. Here we challenge this…

量子物理 · 物理学 2025-06-04 Oubo You , Zhaoqi Jiang , Jinhui Shi , Qing Dai , Chunying Guan , Shuang Zhang