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We present a theoretical framework to investigate quantum thermodynamic processes under non-Markovian system-bath interactions on the basis of the hierarchical equations of motion (HEOM) approach, which is convenient to carry out…

Quantum Physics · Physics 2019-05-01 Akihito Kato , Yoshitaka Tanimura

In the quest for high-performance quantum thermal machines, looking for an optimal thermodynamic efficiency is only part of the issue. Indeed, at the level of quantum devices, fluctuations become extremely relevant and need to be taken into…

Quantum Physics · Physics 2024-09-13 Luca Razzoli , Fabio Cavaliere , Matteo Carrega , Maura Sassetti , Giuliano Benenti

We upper- and lower-bound the optimal precision with which one can estimate an unknown Hamiltonian parameter via measurements of Gibbs thermal states with a known temperature. The bounds depend on the uncertainty in the Hamiltonian term…

By considering the enlarged thermal system including the heat bath, it is shown that this system has supersymmetry which is not broken at finite temperature. The super algebra is constructed and the Hamiltonian is expressed as the…

Condensed Matter · Physics 2009-10-31 R. Parthasarathy , R. Sridhar

All physical systems are to some extent open and interacting with their environment. This insight, basic as it may seem, gives rise to the necessity of protecting quantum systems from decoherence in quantum technologies and is at the heart…

Quantum Physics · Physics 2020-05-05 S. Groeblacher , A. Trubarov , N. Prigge , G. D. Cole , M. Aspelmeyer , J. Eisert

The thermal properties of the three-dimensional Dirac oscillator are considered. The canonical partition function is determined, and the high-temperature limit is assessed. The degeneracy of energy levels and their physical implications on…

High Energy Physics - Theory · Physics 2014-10-14 M. H. Pacheco , R. V. Maluf , C. A. S. Almeida , R. R. Landim

Thermal density matrices can be described by a pure quantum state within the thermofield formalism. Here we show how to construct a class of Hamiltonians realizing a thermofield state as their ground state. These Hamiltonians are…

Statistical Mechanics · Physics 2013-08-06 Adrian E. Feiguin , Israel Klich

We calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

We identify and interpret the possible quantum thermal machine regimes with a transverse-field Ising model as the working substance. In general, understanding the emergence of such regimes in a many-body quantum system is challenging due to…

We analyze the symmetries in an open quantum system composed by three coupled and detuned harmonic oscillators in the presence of a common heat bath. It is shown analytically how to engineer the couplings and frequencies of the system so as…

Quantum Physics · Physics 2015-05-19 Gonzalo Manzano , Fernando Galve , Roberta Zambrini

The state of a thermodynamic system being characterized by its set of extensive variables $q^{i}(i=1,...,n) ,$ we write the associated intensive variables $\gamma_{i},$ the partial derivatives of the entropy $ S(q^{1},...,q^{n}) \equiv…

Condensed Matter · Physics 2009-10-31 R. Balian , P. Valentin

The Hubbard Hamiltonian and its variants/generalizations continue to dominate the theoretical modelling of important problems such as high temperature superconductivity. In this note we identify the set of relevant operators for the Hubbard…

Condensed Matter · Physics 2007-05-23 S. Alam , M. Nasir Khan , Jauhar Ali

Autonomous quantum thermal machines are particularly suited to understand how correlations between thermal baths, a load, and a thermal machine affect the overall thermodynamic functioning of the setup. Here, we show that by tuning the…

Quantum Physics · Physics 2025-06-23 Gauthameshwar S. , Noufal Jaseem , Dario Poletti

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. Of particular practical relevance…

Quantum Physics · Physics 2019-09-23 Patrick P. Potts

We study theoretically dynamics of a driven-dissipative qubit-resonator system. Specifically, a transmon qubit is coupled to a transmission-line resonator; this system is considered to be probed via a resonator, by means of either…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 S. N. Shevchenko , D. S. Karpov

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

Statistical Mechanics · Physics 2013-10-21 Sebastian Deffner , Christopher Jarzynski

We present a wavefunction methodology to account for finite temperature initial conditions in the quantum Rabi model. The approach is based on the Davydov-Ansatz together with a statistical sampling of the canonical harmonic oscillator…

Quantum Physics · Physics 2018-01-17 Michael Werther , Frank Grossmann

We study the unitary time evolution of a simple quantum Hamiltonian describing a heat engine coupled to two heat baths. The engine is modeled as a three-level system. Each heat bath consists of a single harmonic oscillator. The engine is…

Mathematical Physics · Physics 2013-06-27 Winny O'Kelly de Galway , Jan Naudts

It is believed that thermodynamic laws are associated with random processes occurring in the system and, therefore, deterministic mechanical systems cannot be described within the framework of the thermodynamic approach. In this paper, we…

Classical Physics · Physics 2020-09-28 Sergey Rashkovskiy

An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to…

Statistical Mechanics · Physics 2009-10-31 Xavier Leoncini , Alberto D. Verga
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