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The position and momentum information entropies of $D$-dimensional quantum systems with central potentials, such as the isotropic harmonic oscillator and the hydrogen atom, depend on the entropies of the (hyper)spherical harmonics. In turn,…

Mathematical Physics · Physics 2007-08-27 Julio I. de Vicente , Silvia Gandy , Jorge Sánchez-Ruiz

There is a vast body of recent literature on the reliability of communication through noisy channels, the recovery of community structures in the stochastic block model, the limiting behavior of the free entropy in spin glasses and the…

Combinatorics · Mathematics 2022-07-25 Konstantinos Panagiotou , Matija Pasch

We develop a Landauer-B\"uttiker theory of entropy evolution in time-dependent strongly coupled electron systems. This formalism naturally avoids the problem of system-bath distinction caused by the strong hybridization of central system…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Anton Bruch , Caio Lewenkopf , Felix von Oppen

In this paper, we investigate the asymptotic stability of finite-dimensional stochastic integrable Hamiltonian systems via information entropy. Specifically, we establish the asymptotic vanishing of Shannon entropy difference (with…

Dynamical Systems · Mathematics 2025-10-28 Chen Wang , Yong Li

Landauer argued that the process of erasing the information stored in a memory device incurs an energy cost in the form of a minimum amount of mechanical work. We find, however, that this energy cost can be reduced to zero by paying a cost…

Quantum Physics · Physics 2011-06-02 Joan A. Vaccaro , Stephen M. Barnett

We confirm Landauer's 1961 hypothesis that reducing the number of possible macroscopic states in a system by a factor of two requires work of at least kT ln 2. Our experiment uses a colloidal particle in a time-dependent, virtual potential…

Statistical Mechanics · Physics 2014-11-11 Yonggun Jun , Momčilo Gavrilov , John Bechhoefer

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Statistical Mechanics · Physics 2020-12-18 Schuyler B. Nicholson , Luis Pedro Garcia-Pintos , Adolfo del Campo , Jason R. Green

With the help of the coherent states' basis we establish an interesting connection among i) the so-called Wehrl entropy, ii) Fisher's information measure $I$, and iii) the canonical ensemble entropy for the one-dimensional quantum harmonic…

Statistical Mechanics · Physics 2009-11-10 F. Pennini , A. Plastino

Various quantum thermodynamic bounds are shown to stem from a single tighter and more general inequality, consequence of the operator concavity of the logarithmic function. Such an inequality, which we call the "thermodynamic reverse…

Statistical Mechanics · Physics 2020-10-15 Francesco Buscemi , Daichi Fujiwara , Naoki Mitsui , Marcello Rotondo

In this work, the probability of an event under some joint distribution is bounded by measuring it with the product of the marginals instead (which is typically easier to analyze) together with a measure of the dependence between the two…

Information Theory · Computer Science 2020-10-22 Amedeo Roberto Esposito , Michael Gastpar , Ibrahim Issa

According to Landauer's principle, erasing a memory requires an average work of at least $kT\ln2$ per bit. Recent experiments have confirmed this prediction for a one-bit memory represented by a symmetric double-well potential. Here, we…

Statistical Mechanics · Physics 2016-11-15 Momčilo Gavrilov , John Bechhoefer

The interpretation of quantum theory is one of the longest-standing debates in physics. Type I interpretations see quantum probabilities as determined by intrinsic properties of the observed system. Type II see them as relational…

Quantum Physics · Physics 2016-11-24 Adán Cabello , Mile Gu , Otfried Gühne , Jan-Åke Larsson , Karoline Wiesner

In the context of the dynamical mean-field theory of the Hubbard model, we identify microscopically an order parameter for the finite temperature Mott endpoint. We derive a Landau functional of the order parameter. We then use the order…

Strongly Correlated Electrons · Physics 2009-10-31 G. Kotliar , E. Lange , M. J. Rozenberg

The uncertainty principle is a fundamental principle in quantum physics. It implies that the measurement outcomes of two incompatible observables can not be predicted simultaneously. In quantum information theory, this principle can be…

Quantum Physics · Physics 2016-06-24 F. Adabi , S. Salimi , S. Haseli

We analyze phase transitions in the conditional entropy of a sequence caused by a change in the conditional variables. Such transitions happen, for example, when training to learn the parameters of a system, since the transition from the…

Information Theory · Computer Science 2021-01-07 Kang Gao , Bertrand Hochwald

Entanglement and information are powerful lenses to probe phases transitions in many-body systems. Motivated by recent cold atom experiments, which are now able to measure the corresponding information-theoretic quantities, we study the…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

Thermodynamics with multiple-conserved quantities offers a promising direction for designing novel devices. For example, Vaccaro and Barnett's [J. A. Vaccaro and S. M. Barnett, Proc. R. Soc. A 467, 1770 (2011); S. M. Barnett and J. A.…

Quantum Physics · Physics 2021-11-23 Toshio Croucher , Joan A. Vaccaro

Comprehensive no-go theorems show that information encoded over local two-dimensional topologically ordered systems cannot support macroscopic energy barriers, and hence will not maintain stable quantum information at finite temperatures…

Quantum Physics · Physics 2014-03-31 Benjamin J. Brown , Abbas Al-Shimary , Jiannis K. Pachos

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We give a general description of the system evolution under the interaction between qubit and quantum field theory up to the second order perturbation, which is also referred to as the simplified model of light-matter interaction. The…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Hao Xu
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