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Based on the analogy with the quantum mechanics of a particle propagating in a {\em complex} potential, we develop a field-theoretical description of the statistical properties of a self-avoiding polymer chain in a random environment. We…

Statistical Mechanics · Physics 2008-11-26 A. V. Izyumov , K. V. Samokhin

We describe the bound state and scattering properties of a quantum mechanical particle in a scalar $N$-prong potential. Such a study is of special interest since these situations are intermediate between one and two dimensions. The energy…

High Energy Physics - Theory · Physics 2009-10-28 A. Gangopadhyaya , A. Pagnamenta , U. Sukhatme

We describe a minimal model of a quantum Maxwell demon obeying Hamiltonian dynamics. The model is solved exactly, and we analyze its steady-state behavior. We find that writing information to a quantum memory induces a probability current…

Statistical Mechanics · Physics 2013-12-18 Sebastian Deffner

I study an autonomous quantum Maxwell's demon based on two exchange-coupled quantum dots attached to the spin-polarized leads. The principle of operation of the demon is based on the coherent oscillations between the spin states of the…

Statistical Mechanics · Physics 2018-01-24 Krzysztof Ptaszynski

The second law of thermodynamics dictates the fundamental limits to the amount of energy and information that can be exchanged between physical systems. In this work, we extend a thermodynamic formalism describing this flow of energy and…

Statistical Mechanics · Physics 2015-03-24 Jordan M. Horowitz

In certain conditions a macroscopic quantum-mechanical scattering may occur, which may lead to a coherent cross-section on a macroscopic scale in a monocrystal. The conditions are satisfied by neutrinos, but not satisfied by other…

Mesoscale and Nanoscale Physics · Physics 2023-10-06 Marian Apostol

Dynamics of classical scattering in the system of fermions is studied. The model is based on the coherent state representation and the equations of motion for fermions are derived from the time-dependent variational principle. It is found…

chao-dyn · Physics 2016-08-15 S. Drożdż , J. Okołowicz , M. Ploszajczak , E. Caurier , T. Srokowski

Recent research on the fundamentals of statistical mechanics has led to an interesting discovery [1-3]: With locally nonchaotic barriers, as Boltzmann's H-theorem is inapplicable, there exist nontrivial non-thermodynamic systems that can…

Statistical Mechanics · Physics 2025-05-27 Yu Qiao

Seeking for the proper situation of Emergent Gravity, we recent reveal that the entropic mechanism only happens when extremal surfaces are varied, which is similar to the non-gravitational-bath-coupled setup of the island development. In…

High Energy Physics - Theory · Physics 2023-04-05 Yang An

We review the proof of existence and uniqueness of solutions of the Maxwell-Schr"odinger system in a neighborhood of infinity in time, with prescribed asymptotic behaviour defined in terms of asymptotic data, without any restriction on the…

Analysis of PDEs · Mathematics 2008-04-04 J. Ginibre , G. Velo

Cloaking has important applications but entails sophisticated control of signal propagation and scattering characteristics. Here, we show that invisibility for magnon signals is achievable in a non-reciprocal and electrically controlled way…

Mesoscale and Nanoscale Physics · Physics 2024-10-11 Dominik Schulz , Jamal Berakdar , Xi-guang Wang

Excited bound states are often understood within scattering based theories as resulting from the collision of a particle on a target via a short-range potential. We show that the resulting formalism is non-Hermitian and describe the Hilbert…

Quantum Physics · Physics 2011-11-09 A. Matzkin

We study the entropy and information flow in a Maxwell demon device based on a single-electron transistor with controlled gate potentials. We construct the protocols for measuring the charge states and manipulating the gate voltages which…

Statistical Mechanics · Physics 2014-01-22 J. Bergli , Y. M. Galperin , N. B. Kopnin

Recently, apparent nonphysical implications of non-Hermitian quantum mechanics (NHQM) have been discussed in the literature. In particular, the apparent violation of the no-signaling theorem, discrimination of nonorthogonal states, and the…

Quantum Physics · Physics 2019-12-25 Chia-Yi Ju , Adam Miranowicz , Guang-Yin Chen , Franco Nori

The channel induced by a complex system interacting strongly with a qubit is calculated exactly under the assumption of randomness of its eigenvectors. The resulting channel is represented as an isotropic time dependent oscillation of the…

Quantum Physics · Physics 2011-08-31 Marko Znidaric , Carlos Pineda , Ignacio Garcia-Mata

On the basis of extensive numerical studies it is argued that there are strong analogies between the probabilistic behavior of quantum systems defined by Hermitian Hamiltonians and the deterministic behavior of classical mechanical systems…

High Energy Physics - Theory · Physics 2010-05-28 Carl M. Bender , Dorje C. Brody , Daniel W. Hook

There has been renewed interest in the possibility that dark matter exists in the form of atoms, analogous to those of the visible world. An important input for understanding the cosmological consequences of dark atoms is their…

High Energy Physics - Phenomenology · Physics 2014-02-26 James M. Cline , Zuowei Liu , Guy D. Moore , Wei Xue

The Hartman effect refers to the rather paradoxical result that the time spent by a quantum mechanical particle or a photon to tunnel through an opaque potential barrier becomes independent of barrier width for long barriers. Such an…

Quantum Physics · Physics 2022-10-19 Stefano Longhi

Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schr\"odinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A…

Quantum Physics · Physics 2014-01-27 Erasmo M. Ferreira , Javier Sesma

Conventional scattering theory is incomplete in that it does not adequately describe the behaviour of the wave function at macroscopic distances from the scattering reaction volume. In scattering experiments particles are incident from…

Quantum Physics · Physics 2021-10-05 John S. Briggs , James M. Feagin