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Any quantum system interacting with a complex environment undergoes decoherence. Empty space is filled with vacuum energy due to matter fields in their ground state and represents an underlying environment that any quantum particle has to…

General Relativity and Quantum Cosmology · Physics 2009-08-26 Paolo M. Bonifacio

In this work we discuss the dynamical response of heavy quantum impurities immersed in a Fermi gas at zero and at finite temperature. Studying both the frequency and the time domain allows one to identify interaction regimes that are…

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

Dissipation is unavoidable in quantum systems. It usually induces decoherences and changes quantum correlations. To access the information of strongly correlated quantum matters, one has to overcome or suppress dissipation to extract out…

Quantum Gases · Physics 2025-12-29 Yajuan Zhao , Ye Tian , Jilai Ye , Yue Wu , Zihan Zhao , Zhihao Chi , Tian Tian , Hepeng Yao , Jiazhong Hu , Yu Chen , Wenlan Chen

Quantum correlations between two systems can be impaired by the presence of an environment, as it can make systems decohere. We wish to evaluate how much coherence has been irreversibly lost. To do so, we study two qubits which leak…

Quantum Physics · Physics 2016-01-25 Filippo M. Miatto , Kevin Piche , Thomas Brougham , Robert W. Boyd

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

A general framework for analyzing the recently discovered phase transitions in the steady state of dissipation-driven open quantum systems is still missing. In order to fill this gap we extend the so-called fidelity approach to quantum…

Quantum Physics · Physics 2014-02-12 Leonardo Banchi , Paolo Giorda , Paolo Zanardi

We provide two inequalities for estimating adiabatic fidelity in terms of two other more handily calculated quantities, i.e., generalized orthogonality catastrophe and quantum speed limit. As a result of considering a two-dimensional…

Quantum Physics · Physics 2022-11-01 Jyong-Hao Chen , Vadim Cheianov

We study quantum Loschmidt echo, or fidelity, in the triangle map whose classical counterpart has linear instability and weak chaos. Numerically, three regimes of fidelity decay have been found with respect to the perturbation strength…

Chaotic Dynamics · Physics 2009-11-13 Wen-ge Wang

We analyze the scaling parameter, extracted from the fidelity for two different ground states, for the one-dimensional quantum Ising model in a transverse field near the critical point. It is found that, in the thermodynamic limit, the…

Statistical Mechanics · Physics 2009-11-13 Huan-Qiang Zhou , Jian-Hui Zhao , Bo Li

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 investigate the sensitivity of a disordered system with diffractive scatterers to a weak external perturbation. Specifically, we calculate the fidelity M(t) (also called the Loschmidt echo) characterizing a return probability after a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Y. Adamov , I. V. Gornyi , A. D. Mirlin

The fidelity susceptibility measures sensitivity of eigenstates to a change of an external parameter. It has been fruitfully used to pin down quantum phase transitions when applied to ground states (with extensions to thermal states). Here…

Disordered Systems and Neural Networks · Physics 2020-04-10 Piotr Sierant , Artur Maksymov , Marek Kuś , Jakub Zakrzewski

The diverging responses to parameter variations of systems at quantum critical points motivate schemes of quantum metrology that feature sub-Heisenberg scaling of the sensitivity with the system size (e.g., the number of particles). This…

Quantum Physics · Physics 2021-08-11 Chong Chen , Ping Wang , Ren-Bao Liu

We study a model of frustration of decoherence in an open quantum system. Contrary to other dissipative ohmic impurity models, such as the Kondo model or the dissipative two-level system, the impurity model discussed here never presents…

Other Condensed Matter · Physics 2007-05-23 E. Novais , A. H. Castro Neto , L. Borda , I. Affleck , G. Zarand

The decoherence phenomenon arising from an environmental monitoring of the state of a quantum system, as opposed to monitoring of a preferred observable, is worked out in detail using two equivalent formulations, namely, repeated…

Quantum Physics · Physics 2026-03-17 Dorje C. Brody , Rishindra Melanathuru

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

Using the methods of quantum trajectories we investigate the effects of dissipative decoherence in a quantum computer algorithm simulating dynamics in various regimes of quantum chaos including dynamical localization, quantum ergodic regime…

Quantum Physics · Physics 2016-09-08 Jae Weon Lee , Dima L. Shepelyansky

We study ground state fidelity defined as the overlap between two ground states of the same quantum system obtained for slightly different values of the parameters of its Hamiltonian. We focus on the thermodynamic regime of the XY model and…

Quantum Physics · Physics 2015-03-19 Marek M. Rams , Bogdan Damski

We consider a central system which is coupled via dephasing to an open system, i.e. an intermediate system which in turn is coupled to another environment. Considering intermediate and far environment as one composite system, the coherences…

Quantum Physics · Physics 2016-09-28 Thomas Gorin , Héctor J. Moreno , Thomas H. Seligman