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We analyze algebraic structure of a relativistic semi-classical Wigner function of particles with spin 1/2 and show that it consistently includes information about the spin density matrix both in two-dimensional spin and four-dimensional…

Nuclear Theory · Physics 2020-06-24 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

Quantum dots are useful model systems for studying quantum thermoelectric behavior because of their highly energy-dependent electron transport properties, which are tunable by electrostatic gating. As a result of this strong energy…

Mesoscale and Nanoscale Physics · Physics 2016-06-17 Artis Svilans , Adam M. Burke , Sofia Fahlvik Svensson , Martin Leijnse , Heiner Linke

A mean field spherical model with random couplings between pairs, quartets, and possibly higher multiplets of spins is considered. It has the same critical behavior as the Sherrington-Kirkpatrick model. It thus exhibits replica symmetry…

Condensed Matter · Physics 2009-10-22 Th. M. Nieuwenhuizen

We propose a scheme to simulate and explore Weyl semimetal physics with ultracold fermionic atoms in a two-dimensional square optical lattice subjected to experimentally realizable spin-orbit coupling and an artificial dimension from an…

Quantum Gases · Physics 2015-07-29 Dan-Wei Zhang , Shi-Liang Zhu , Z. D. Wang

We consider the standard thermodynamic processes with constraints, but with additional uncertainty about the control parameters. Motivated by inductive reasoning, we assign prior distribution that provides a rational guess about likely…

Statistical Mechanics · Physics 2014-04-03 Preety Aneja , Ramandeep S. Johal

Information-theoretic approaches provide a promising avenue for extending the laws of thermodynamics to the nanoscale. Here, we provide a general fundamental lower limit, valid for systems with an arbitrary Hamiltonian and in contact with…

Quantum Physics · Physics 2018-05-08 Philippe Faist , Renato Renner

The statistical mechanics of Gibbs is a juxtaposition of subjective, probabilistic ideas on the one hand and objective, mechanical ideas on the other. In this paper, we follow the path set out by Jaynes, including elements added…

Statistical Mechanics · Physics 2015-11-24 David M. Rogers , Thomas L. Beck , Susan B. Rempe

We study the properties of 5-dimensional black objects by using the renormalized boundary stress-tensor for locally asymptotically flat spacetimes. This provides a more refined form of the quasilocal formalism which is useful for a…

High Energy Physics - Theory · Physics 2014-11-20 Dumitru Astefanesei , Robert B. Mann , Maria J. Rodriguez , Cristian Stelea

Justification of tight-binding model from Schroedinger formalism for various topologies of position-based semiconductor qubits is presented in this work. Simplistic tight-binding model allows for description of single-electron devices at…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Krzysztof Pomorski

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

We study trade-off relations in information extraction from quantum systems subject to null-result weak measurements, where the absence of a detected photon continuously updates the system state. We present a detailed analysis of qubit and…

Quantum Physics · Physics 2026-05-15 Luis D. Zambrano Palma , Yusef Maleki , M. Suhail Zubairy

For information-theoretic quantities with an asymptotic operational characterization, the question arises whether an alternative single-shot characterization exists, possibly including an optimization over an ancilla system. If the…

Mathematical Physics · Physics 2021-12-21 Vjosa Blakaj , Michael M. Wolf

Predictive inference requires balancing statistical accuracy against informational complexity, yet the choice of complexity measure is usually imposed rather than derived. We treat econometric objects as predictive rules, mappings from…

Statistics Theory · Mathematics 2026-02-16 Nicholas G. Polson , Daniel Zantedeschi

We introduce an information theoretic measure of statistical structure, called 'binding information', for sets of random variables, and compare it with several previously proposed measures including excess entropy, Bialek et al.'s…

Statistics Theory · Mathematics 2010-12-10 Samer A. Abdallah , Mark D. Plumbley

Recently, it became possible to experimentally generate and characterize a very thin silica system on a substrate which can be basically described as a 2D random network. The key structural properties, in particular related to the ring…

Disordered Systems and Neural Networks · Physics 2019-05-01 Projesh Kumar Roy , Andreas Heuer

Thermodynamics provides a transparent definition of the free energy of density functional theory (DFT), and of its derivatives - the potentials, at finite temperatures T. By taking the T to 0 limit, it is shown here that both DFT and…

Materials Science · Physics 2016-08-31 Nathan Argaman , Guy Makov

The concept of autonomy is fundamental for understanding biological organization and the evolutionary transitions of living systems. Understanding how a system constitutes itself as an individual, cohesive, self-organized entity is a…

Neurons and Cognition · Quantitative Biology 2019-02-07 Miguel Aguilera , Ezequiel Di Paolo

Although the notion of entropy lies at the core of statistical mechanics, it is not often used in statistical mechanical models to characterize phase transitions, a role more usually played by quantities such as various order parameters,…

Statistical Mechanics · Physics 2016-08-31 D. A. Johnston , W. Janke , R. Kenna

Previous results on Renyi and Wang's formalism of the Tsallis thermostatics are founded by using an extensive variable z connected to the entropic parameter q. It is shown that in the thermodynamical limit both the Tsallis and Renyi…

Statistical Mechanics · Physics 2007-05-23 A. S. Parvan , T. S. Biro

A Hamiltonian dynamics is defined for the XY model by adding a kinetic energy term. Thermodynamical properties (total energy, magnetization, vorticity) derived from microcanonical simulations of this model are found to be in agreement with…

Statistical Mechanics · Physics 2014-10-13 Xavier Leoncini , Alberto D. Verga , Stefano Ruffo