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The Fermi edge singularity and the Anderson orthogonality catastrophe describe the universal physics which occurs when a Fermi sea is locally quenched by the sudden switching of a scattering potential, leading to a brutal disturbance of its…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 A. Sindona , J. Goold , N. Lo Gullo , S. Lorenzo , F. Plastina

A remarkable feature of quantum many-body systems is the orthogonality catastrophe which describes their extensively growing sensitivity to local perturbations and plays an important role in condensed matter physics. Here we show that the…

Quantum Physics · Physics 2020-03-17 Thomás Fogarty , Sebastian Deffner , Thomas Busch , Steve Campbell

We investigate the non-equilibrium quantum dynamics and thermodynamics of free fermions suddenly coupled to a localized defect in a one-dimensional harmonic trap. This setup realizes a quantum quench transformation that gives rise to the…

Quantum Gases · Physics 2026-01-26 Beatrice Donelli , Gabriele De Chiara , Francesco Scazza , Stefano Gherardini

We study the response of a highly-excited time dependent quantum many-body state to a sudden local perturbation, a sort of orthogonality catastrophe problem in a transient non-equilibrium environment. To this extent we consider, as key…

Strongly Correlated Electrons · Physics 2014-07-23 Marco Schiró , Aditi Mitra

We study the dynamics of two strongly interacting bosons with an additional impurity atom trapped in a harmonic potential. Using exact numerical diagonalization we are able to fully explore the dynamical evolution when the interaction…

Quantum Physics · Physics 2014-07-23 Steve Campbell , Miguel Ángel García-March , Thomás Fogarty , Thomas Busch

We introduce a nonequilibrium phenomenon, reminiscent of Anderson's orthogonality catastrophe (OC), that arises in the transient dynamics following an interaction quench between a quantum system and a localized defect. Even if the system…

Quantum Physics · Physics 2026-04-20 Beatrice Donelli , Gabriele De Chiara , Francesco Scazza , Stefano Gherardini

The local quench of a Fermi gas, giving rise to the Fermi edge singularity and the Anderson orthogonality catastrophe, is a rare example of an analytically tractable out of equilibrium problem in condensed matter. It describes the universal…

Statistical Mechanics · Physics 2015-06-17 A. Sindona , N. Lo Gullo , J. Goold , F. Plastina

We consider a fixed impurity immersed in a Fermi gas at finite temperature. We take the impurity to have two internal spin states, where the $\uparrow$ state is assumed to interact with the medium such that it exhibits the orthogonality…

A semiclassical wave-packet propagating in a dissipationless Fermi gas inevitably enters a "gradient catastrophe" regime, where an initially smooth front develops large gradients and undergoes a dramatic shock wave phenomenon. The…

Strongly Correlated Electrons · Physics 2007-05-23 E. Bettelheim , A. G. Abanov , P. Wiegmann

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 address the phenomenon of statistical orthogonality catastrophe in insulating disordered systems. More in detail, we analyse the response of a system of non-interacting fermions to a local perturbation induced by an impurity. By…

We consider the possible mechanical instability of an ultracold Fermi gas due to the attractive interactions between fermions of different species. We investigate how the instability, predicted by a mean field calculation for an homogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. Leyronas , R. Combescot

We propose to investigate the full counting statistics of nonequilibrium spin transport with an ultracold atomic quantum gas. The setup makes use of the spin control available in atomic systems to generate spin transport induced by an…

Quantum Gases · Physics 2019-06-19 Jhih-Shih You , Richard Schmidt , Dmitri A. Ivanov , Michael Knap , Eugene Demler

Recent experimental realization of strongly imbalanced mixtures of ultracold atoms opens new possibilities for studying impurity dynamics in a controlled setting. We discuss how the techniques of atomic physics can be used to explore new…

We consider the quench of an atomic impurity via a single Rydberg excitation in a degenerate Fermi gas. The Rydberg interaction with the background gas particles induces an ultralong-range potential that binds particles to form dimers,…

Quantum Gases · Physics 2020-04-15 John Sous , H. R. Sadeghpour , T. C. Killian , Eugene Demler , Richard Schmidt

We investigate the response of a two-dimensional electron gas, in the fractional quantum Hall regime, to the sudden appearance of a localised charged probe using the Chern-Simons theory of composite fermions. The dynamic structure factor of…

Strongly Correlated Electrons · Physics 2009-10-31 Darren J. T. Leonard , Neil F. Johnson

The insertion of a small polarizable particle in an arbitrarily large optical cavity significantly alters the quantum-mechanical state of the electromagnetic field in that the photon ground state of the empty cavity and that of the cavity…

Quantum Physics · Physics 2017-02-08 R. Merlin

We study the Loschmidt echo for a system of electrons interacting through mean-field Coulomb forces. The electron gas is modeled by a self-consistent set of hydrodynamic equations. It is observed that the quantum fidelity drops abruptly…

Quantum Physics · Physics 2009-11-13 G. Manfredi , P. -A. Hervieux

We present a detailed numerical study of the orthogonality catastrophe exponent for a one-dimensional lattice model of spinless fermions with nearest neighbor interaction using the density matrix remormalization group algorithm. Keeping up…

Strongly Correlated Electrons · Physics 2009-10-30 V. Meden , P. Schmitteckert , Nic Shannon

We investigate the orthogonality catastrophe and quantum speed limit in the Creutz model for dynamical quantum phase transitions. We demonstrate that exact zeros of the Loschmidt echo can exist in finite-size systems for specific discrete…

Quantum Physics · Physics 2023-09-25 Zheng-Rong Zhu , Bin Shao , Jian Zou , Lian-Ao Wu
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