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A universal relation is established between the quantum work probability distribution of an isolated driven quantum system and the Loschmidt echo dynamics of a two-mode squeezed state. When the initial density matrix is canonical, the…

Quantum Physics · Physics 2018-08-24 Aurélia Chenu , Iñigo L. Egusquiza , Javier Molina-Vilaplana , Adolfo del Campo

We investigate the quench dynamics of a one-dimensional incommensurate lattice described by the Aubry-Andr\'{e} model by a sudden change of the strength of incommensurate potential $\Delta$ and unveil that the dynamical signature of…

Disordered Systems and Neural Networks · Physics 2017-05-24 Chao Yang , Yucheng Wang , Pei Wang , Gao Xianlong , Shu Chen

The Kuramoto model has been introduced to describe synchronization phenomena observed in groups of cells, individuals, circuits, etc. The model consists of $N$ interacting oscillators on the one dimensional sphere $\mathbf{S}^{1}$, driven…

Probability · Mathematics 2013-01-29 Eric Luçon

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

We consider the stationary state properties of the reduced density matrix as well as spin-spin correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. We demonstrate that stationary…

Statistical Mechanics · Physics 2013-02-28 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

We address the physics of equilibration in ultracold atomic gases following a quench of the interaction parameter. We focus on the momentum distribution of the excitations, $n_{\mathbf k}$, and observe that larger ${\mathbf k}$ modes will…

Quantum Gases · Physics 2014-09-18 A. Rancon , K. Levin

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

The rate of complexification of a quantum state is conjectured to be bounded from above by the average energy of the state. A different conjecture relates the complexity of a holographic CFT state to the on-shell gravitational action of a…

High Energy Physics - Theory · Physics 2018-03-09 Mudassir Moosa

The presence of a global internal symmetry in a quantum many-body system is reflected in the fact that the entanglement between its subparts is endowed with an internal structure, namely it can be decomposed as sum of contributions…

Statistical Mechanics · Physics 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

We show that, in the gapless Kondo Regime, a single local quench at one end of a Kondo spin chain induces a fast and long lived oscillatory dynamics. This quickly establishes a high quality entanglement between the spins at the opposite…

Strongly Correlated Electrons · Physics 2013-05-29 Pasquale Sodano , Abolfazl Bayat , Sougato Bose

We investigate the effects of fluctuations on the dynamics of an isolated quantum system represented by a $\phi^4$ field theory with $O(N)$ symmetry after a quench in $d>2$ spatial dimensions. A perturbative renormalization-group approach…

Statistical Mechanics · Physics 2016-11-23 Alessio Chiocchetta , Marco Tavora , Andrea Gambassi , Aditi Mitra

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

Strongly Correlated Electrons · Physics 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera

We study local quenches in 1+1 dimensional conformal field theories at large-c by operators carrying higher spin charge. Viewing such states as solutions in Chern-Simons theory, representing infalling massive particles with spin-three…

High Energy Physics - Theory · Physics 2017-11-22 Justin R. David , Surbhi Khetrapal , S. Prem Kumar

We study analytically and numerically quench dynamics and defects formation in the quantum Ising model in the presence of a time-dependent transverse magnetic field. We generalize the Landau-Ziner formula to the case of non-adiabatic…

Statistical Mechanics · Physics 2019-01-01 Alexander I Nesterov , Mónica F Ramírez

We have studied quantum phase transition induced by a quench in different one dimensional spin systems. Our analysis is based on the dynamical mechanism which envisages nonadiabaticity in the vicinity of the critical point. This causes spin…

Quantum Physics · Physics 2015-05-27 Banasri Basu , Pratul Bandyopadhyay , Priyadarshi Majumdar

Classical analogs of the quantum mechanical concepts of the Loschmidt Echo and quantum fidelity are developed with the goal of detecting small perturbations in a closed wave chaotic region. Sensing techniques that employ a…

Chaotic Dynamics · Physics 2010-12-14 Biniyam Tesfaye Taddese , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

In recent years, the dynamics of interacting quantum systems far from equilibrium have attracted significant research interest. Driven by rapid progress in quantum simulators, various non-equilibrium phenomena have now been realized…

As is well known, quantum mechanical behavior cannot, in general, be simulated by a local hidden variables model. Most -if not all- the proofs of this incompatibility refer to the correlations which arise when each of two (or more) systems…

Quantum Physics · Physics 2016-09-08 Sandu Popescu

We study the time evolution of an integrable many-particle system, described by the $q$-boson Hamiltonian in the limit of strong interactions $q\to\infty$. It is shown that, for a particular class of pure initial states, the analytical…

Statistical Mechanics · Physics 2016-06-22 Balazs Pozsgay , Viktor Eisler
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