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We propose schemes for unambiguous direct observation of Anderson orthogonality catastrophe (AOC) effects in a quantum dot coupled to a charge detector, and to estimate the strength of the AOC exponent $\alpha$. We show that certain…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Sarath Sankar , Joshua Folk , Yigal Meir , Eran Sela

With the aid of simple analytical computations for the Ehrenfest model, we clarify some basic features of macroscopic irreversibility. The stochastic character of the model allows us to give a non-ambiguous interpretation of the general…

Statistical Mechanics · Physics 2019-05-07 Marco Baldovin , Lorenzo Caprini , Angelo Vulpiani

We study the orthogonality catastrophe due to a parametric change of the single-particle (mean field) Hamiltonian of an ergodic system. The Hamiltonian is modeled by a suitable random matrix ensemble. We show that the overlap between the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Raul O. Vallejos , Caio H. Lewenkopf , Yuval Gefen

Aubry-Andre Harper (AAH) lattice models, characterized by reflection-asymmetric, sinusoidally varying nearest-neighbor tunneling profile, are well-known for their topological properties. We consider the fate of such models in the presence…

Optics · Physics 2016-06-06 Andrew K. Harter , Tony E. Lee , Yogesh N. Joglekar

We study the Anderson orthogonality catastrophe (AOC) in finite conductors with diffusive disorder. The disorder averaged logarithm of $\chi$, the overlap between the ground states before and after adding a static impurity, is found to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yuval Gefen , Richard Berkovits , Igor V. Lerner , Boris L. Altshuler

We investigate the Loschmidt echo, the overlap of the initial and final wavefunctions of Luttinger liquids after a spatially inhomogeneous interaction quench. In studying the Luttinger model, we obtain an analytic solution of the bosonic…

Strongly Correlated Electrons · Physics 2015-09-01 Balázs Dóra , Frank Pollmann

The nonequilibrium stationary state of an irreversible spherical model is investigated on hypercubic lattices. The model is defined by Langevin equations similar to the reversible case, but with asymmetric transition rates. In spite of…

Statistical Mechanics · Physics 2015-06-03 M. O. Hase , M. J. de Oliveira

The analysis of level statistics provides a primary method to detect signatures of chaos in the quantum domain. However, for experiments with ion traps and cold atoms, the energy levels are not as easily accessible as the dynamics. In this…

Disordered Systems and Neural Networks · Physics 2020-01-22 E. Jonathan Torres-Herrera , Lea F. Santos

The entropy produced when a system undergoes an infinitesimal quench is directly linked to the work parameter susceptibility, making it sensitive to the existence of a quantum critical point. Its singular behavior at $T=0$, however,…

Quantum Physics · Physics 2022-07-13 Adalberto D. Varizi , Raphael C. Drumond , Gabriel T. Landi

Current research in statistical mechanics mostly concerns the investigation of out-of-equilibrium, irreversible processes, which are ubiquitous in nature and still far from being theoretically understood. Even the precise characterization…

A complete understanding of the statistics of the work done by quenching a parameter of a quantum many-body system is still lacking in the presence of an initial quantum coherence in the energy basis. In this case, the work can be…

Quantum Physics · Physics 2023-07-07 Gianluca Francica , Luca Dell'Anna

We investigate generalized Aubry-Andr\'{e} models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size…

Disordered Systems and Neural Networks · Physics 2025-08-12 Feng Lu , Ao Zhou , Shujie Cheng , Gao Xianlong

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

We investigate the statistical orthogonality catastrophe (StOC) in single-particle and many-body localized systems by studying the response of the many-body ground state to a local quench. Using scaling arguments and exact numerical…

Strongly Correlated Electrons · Physics 2015-12-09 Dong-Ling Deng , J. H. Pixley , Xiaopeng Li , S. Das Sarma

We explore the effect of asymmetry in the thermodynamic response (work done) of an overdamped Brownian system driven by a time-periodic field when the particle is confined inside a bilobal irregular structure. The spatial irregularity of…

Statistical Mechanics · Physics 2024-08-20 Syed Yunus Ali

We investigate the behaviour of a single qubit coupled to a low-dimensional, ultra-cold Fermi gas. The scattering between the system and the fermions leads to the loss of any coherence in the initial state of the qubit and we show that the…

Quantum Physics · Physics 2013-06-18 J. Goold , T. Fogarty , N. Lo Gullo , M. Paternostro , Th. Busch

We characterise the nonequilibrium stationary state of a generic multivariate Ornstein-Uhlenbeck process involving $N$ degrees of freedom. The irreversibility of the process is encoded in the antisymmetric part of the Onsager matrix. The…

Statistical Mechanics · Physics 2018-12-19 Claude Godrèche , Jean-Marc Luck

In this paper, we study the cut-off phenomenon under the total variation distance of $d$-dimensional Ornstein-Uhlenbeck processes which are driven by L\'evy processes. That is to say, under the total variation distance, there is an abrupt…

Probability · Mathematics 2023-05-05 Gerardo Barrera , Juan Carlos Pardo

Orthogonality catastrophe in fermionic systems is well known: in the thermodynamic limit, the overlap between the ground state wavefunctions with and without a single local scattering potential approaches zero algebraically as a function of…

Statistical Mechanics · Physics 2007-05-23 Jun Sun , Olen Rambow , Qimiao Si

We study the statistics of the work done in a zero temperature quench of the coupling constant in the Dicke model describing the interaction between a gas of two level atoms and a single electromagnetic cavity mode. When either the final or…

Statistical Mechanics · Physics 2010-11-19 Francis N. C. Paraan , Alessandro Silva