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We study the response to sudden local perturbations of highly excited Quantum Ising Spin Chains. The key quantity encoding this response is the overlap between time-dependent wave functions, which we write as a two-times Loschmidt echo. Its…

Statistical Mechanics · Physics 2016-11-29 Carla Lupo , Marco Schiró

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 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 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

We employ the Loschmidt Echo, i.e. the signal recovered after the reversal of an evolution, to identify and quantify the processes contributing to decoherence. This procedure, which has been extensively used in single particle physics, is…

Quantum Physics · Physics 2012-07-25 Pablo R. Zangara , Axel D. Dente , Patricia R. Levstein , Horacio M. Pastawski

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

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

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

We report dynamical quantum phase transition portrait in the alternating field transverse XY spin chain with Dzyaloshinskii-Moriya interaction by investigating singularities in the Loschmidt echo and the corresponding rate function after a…

Quantum Physics · Physics 2020-06-16 Stav Haldar , Saptarshi Roy , Titas Chanda , Aditi Sen De , Ujjwal Sen

Entanglement between a quantum system and its environment leads to loss of coherence in the former. In general, the temporal fate of coherences is complicated. Here, we establish the connection between decoherence of a central system and…

Quantum Physics · Physics 2013-05-29 T. Gorin , T. Prosen , T. H. Seligman , W. T. Strunz

We investigate the out-of-time ordered correlators and Loschmidt echo in a non-Hermitian interacting system governed by a Gross-Pitaevskii map model, which incorporates a periodically modulated complex strength of the nonlinear interaction…

Quantum Physics · Physics 2025-03-24 Wen-Lei Zhao , Chao Han , Han Ke , Jie Liu

We address the sensitivity of quantum mechanical time evolution by considering the time decay of the Loschmidt echo (LE) (or fidelity) for local perturbations of the Hamiltonian. Within a semiclassical approach we derive analytical…

Chaotic Dynamics · Physics 2010-02-24 Arseni Goussev , Daniel Waltner , Klaus Richter , Rodolfo A. Jalabert

The dynamics of a classical heavy particle moving in a quantum environment is determined by a Langevin equation which encapsulates the effect of the environment-induced reaction forces on the particle. For an open quantum system these…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Mark Thomas , Torsten Karzig , Silvia Viola Kusminskiy

In the long quest to identify and compensate the sources of decoherence in many-body systems far from the ground state, the varied family of Loschmidt echoes (LEs) became an invaluable tool in several experimental techniques. A LE involves…

Quantum Physics · Physics 2022-06-15 Claudia M. Sánchez , Ana Karina Chattah , Horacio M. Pastawski

We study the Loschmidt echo (LE) in a central spin model in which a central spin is globally coupled to an environment (E) which is subjected to a small and sudden quench at $t=0$ so that its state at $t=0^+$, remains the same as the ground…

Statistical Mechanics · Physics 2012-07-31 Victor Mukherjee , Shraddha Sharma , Amit Dutta

We investigate the many-body generalization of the orthogonality catastrophe by studying the generalized Loschmidt echo of Luttinger liquids (LLs) after a global change of interaction. It decays exponentially with system size and exhibits…

Strongly Correlated Electrons · Physics 2013-07-24 Balázs Dóra , Frank Pollmann , József Fortágh , Gergely Zaránd

The Loschmidt echo, defined as the overlap between quantum wave function evolved with different Hamiltonians, quantifies the sensitivity of quantum dynamics to perturbations and is often used as a probe of quantum chaos. In this work we…

Disordered Systems and Neural Networks · Physics 2017-07-14 Maksym Serbyn , Dmitry A. Abanin

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…

A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system. Specifically, the Loschmidt echo after a sudden quench to a quantum critical point $-$…

Quantum Physics · Physics 2017-01-09 R. Jafari , Henrik Johannesson

We present an analog of the phenomenon of orthogonality catastrophe in quantum many body systems subject to a local dissipative impurity. We show that the fidelity $F(t)$, giving a measure for distance of the time-evolved state from the…

Statistical Mechanics · Physics 2019-02-06 F. Tonielli , R. Fazio , S. Diehl , J. Marino
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