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In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ model at zero magnetic field or the charge…

Strongly Correlated Electrons · Physics 2011-01-31 J. Sirker , R. G. Pereira , I. Affleck

Persistent currents and magnetization are considered for a two-dimensional electron (or gas of electrons) coupled to various magnetic fields. Thermodynamic formulae for the magnetization and the persistent current are established and the…

Condensed Matter · Physics 2009-10-31 Jean Desbois , Stephane Ouvry , Christophe Texier

We consider a stable open queuing network as a steady non-equilibrium system of interacting particles. The network is completely specified by its underlying graphical structure, type of interaction at each node, and the Markovian transition…

Statistical Mechanics · Physics 2015-05-18 Vladimir Y. Chernyak , Michael Chertkov , David A. Goldberg , Konstantin Turitsyn

Persistent current is a hallmark of quantum phase coherence. We study the fate of the persistent current in a non-equilibrium setting, where a tight-binding ring is subjected to stochastic disorder as well as a fermionic reservoir attached…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Samudra Sur , Thierry Giamarchi

Persistent current, or "flow without friction", as well as quantum vortices are the hallmarks of superfluidity. Recently a very long-lived persistent flow of atoms has been experimentally observed in Bose-Einstein condensates trapped in a…

The electronic transport in a system of two quantum rings side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We derived analytical expressions for the conductance, density of states and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. A. Orellana , M. Pacheco

Conserved quantities such as energy or the electric charge of a closed system, or the Runge-Lenz vector in Kepler dynamics are determined by its global, local, or accidental symmetries. They were instrumental to advances such as the…

There exist instances of dynamical systems possessing symmetry transformations of which the conserved Noether charges generating these symmetries feature an explicit time dependence in their functional representation over phase space. The…

High Energy Physics - Theory · Physics 2019-07-02 Jan Govaerts

In many experimental situations, a physical system undergoes stochastic evolution which may be described via random maps between two compact spaces. In the current work, we study the applicability of large deviations theory to time-averaged…

Statistical Mechanics · Physics 2015-05-13 Vladimir Y. Chernyak , Michael Chertkov , Sergey V. Malinin , Razvan Teodorescu

We study zero-temperature quantum spin chains which are characterized by a non-vanishing current. For the XX model starting from the initial state |... + + + - - - ...> we derive an exact expression for the variance of the total spin…

Statistical Mechanics · Physics 2009-01-09 Tibor Antal , P. L. Krapivsky , A. Rákos

Persistent currents in disordered mesoscopic rings threaded by a magnetic flux are calculated using exact diagonalization methods in the one-dimensional (1D) case and self-consistent Hartree-Fock treatments for two dimensional (2D) systems.…

Condensed Matter · Physics 2008-02-03 Georges Bouzerar , Didier Poilblanc

We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and the energy. At the level of the hydrodynamic limit, under…

Probability · Mathematics 2025-05-16 Patrícia Gonçalves , Kohei Hayashi , João Pedro Mangi

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained which is the consequence of…

Statistical Mechanics · Physics 2013-07-15 David Andrieux , Pierre Gaspard , Takaaki Monnai , Shuichi Tasaki

We demonstrate that persistent currents can be induced in a quantum system in contact with a structured reservoir, without the need of any applied gauge field. The working principle of the mechanism leading to their presence is based on the…

Quantum Physics · Physics 2018-11-14 Maximilian Keck , Davide Rossini , Rosario Fazio

When driven by a potential bias between two finite reservoirs, the particle current across a quantum system evolves from an initial loading through a coherent, followed by a metastable phase, and ultimately fades away upon equilibration. We…

Thin, solid bodies with metric symmetries admit a restricted form of reparameterization invariance. Their dynamical equilibria include motions with both rigid and flowing aspects. On such configurations, a quantity is conserved along the…

Classical Physics · Physics 2016-02-17 J. A. Hanna , H. Pendar

The phenomenon of stable persistent currents is central to the studies of superfluidity in a range of physical systems. While all of the previous theoretical studies of superfluid flows in annular geometries concentrated on conservative…

Quantum Gases · Physics 2014-08-08 Guangyao Li , Michael D. Fraser , Alexander Yakimenko , Elena A. Ostrovskaya

We study large deviations for the current of one-dimensional stochastic particle systems with periodic boundary conditions. Following a recent approach based on an earlier result by Jensen and Varadhan, we compare several candidates for…

Statistical Mechanics · Physics 2018-10-02 Paul Chleboun , Stefan Grosskinsky , Andrea Pizzoferrato

Chaotic dynamics in quantum many-body systems scrambles local information so that at late times it can no longer be accessed locally. This is reflected quantitatively in the out-of-time-ordered correlator of local operators, which is…

Quantum Physics · Physics 2019-07-10 Yichen Huang , Fernando G. S. L. Brandao , Yong-Liang Zhang

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary…

Statistical Mechanics · Physics 2018-08-15 Maximilien Barbier , Pierre Gaspard
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