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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

We study a composite quantum quench of the energy gap and the interactions in the interacting \phi^4 model using a self-consistent approximation. Firstly we review the results for free theories where a quantum quench of the energy gap or…

Quantum Physics · Physics 2014-11-20 Spyros Sotiriadis , John Cardy

The dynamical quantum phase transition is characterized by the emergence of nonanalytic behaviors in the rate function, corresponding to the occurrence of exact zero points of the Loschmidt echo in the thermodynamical limit. In general,…

Quantum Physics · Physics 2023-04-12 Yumeng Zeng , Bozhen Zhou , Shu Chen

We study the temporal evolution of a central spin-1/2 (qubit) coupled to the environment which is chosen to be a spin-1/2 transverse XY spin chain. We explore the entire phase diagram of the spin-Hamiltonian and investigate the behavior of…

Statistical Mechanics · Physics 2015-06-04 Shraddha Sharma , Victor Mukherjee , Amit Dutta

We study the quench dynamics on cross-stitch flat band networks by a sudden change of the inter-cell hopping strength $J$. For quench processes with $J$ changing as $J=0\rightarrow J\neq0$, we give the analytical expression to the Loschmidt…

Quantum Gases · Physics 2019-04-03 Tong Liu , Hao Guo

We study the quench dynamics of the one-dimensional Hubbard model through the Quench Action formalism. We introduce a class of integrable initial states -- expressed as product states over two sites -- for which we can provide an exact…

Statistical Mechanics · Physics 2022-11-23 Colin Rylands , Bruno Bertini , Pasquale Calabrese

The consequences of the sudden change in the coupling constants (quenches) on the phase structure of the theory at late times are explored. We study in detail the three dimensional phi^6 model in the large N limit, and show that the phi^6…

Strongly Correlated Electrons · Physics 2013-01-09 Ling-Yan Hung , Michael Smolkin , Evgeny Sorkin

We consider the computation of the Loschmidt echo after quantum quenches in the interacting $XXZ$ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the N\'eel and…

Statistical Mechanics · Physics 2017-02-17 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the…

Statistical Mechanics · Physics 2023-05-15 Shouvik Datta , Bastien Lapierre , Per Moosavi , Apoorv Tiwari

We study the problem of rapid change of the interaction parameter (quench) in many-body low-dimensional system. It is shown that, measuring correlation functions after the quench the information about a spectrum of collective excitations in…

Other Condensed Matter · Physics 2011-11-09 Vladimir Gritsev , Eugene Demler , Mikhail Lukin , Anatoli Polkovnikov

We study the spreading of density-density correlations and the Loschmidt echo, after different sudden quenches in an interacting one dimensional Bose gas on a lattice, also in the presence of a superimposed aperiodic potential. We use a…

Quantum Gases · Physics 2015-12-22 Nicola Lo Gullo , Luca Dell'Anna

Long-range interacting spin systems are ubiquitous in physics and exhibit a variety of ground state disorder-to-order phase transitions. We consider a prototype of infinite-range interacting models known as the Lipkin-Meshkov-Glick (LMG)…

Quantum Gases · Physics 2020-07-29 Paraj Titum , Mohammad F. Maghrebi

The notion of Loschmidt echo (also called "quantum fidelity") has been introduced in order to study the (in)-stability of the quantum dynamics under perturbations of the Hamiltonian. It has been extensively studied in the past few years in…

Quantum Physics · Physics 2007-05-23 M. Combescure , D. Robert

We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest neighbour interaction for hard-core bosons or an interaction quench for free fermions.…

Strongly Correlated Electrons · Physics 2013-02-08 Frank Pollmann , Masudul Haque , Balázs Dóra

We explore the dynamics of long-range Kitaev chain by varying pairing interaction exponent, $\alpha$. It is well known that distinctive characteristics on the nonequilibrium dynamics of a closed quantum system are closely related to the…

Statistical Mechanics · Physics 2020-08-28 Utkarsh Mishra , R. Jafari , Alireza Akbari

We study the universal real-time relaxation behaviors of a long-range quantum XY chain following a quench. Our research includes both the noncritical and critical quench. In the case of noncritical quench, i.e., neither the initial state…

Statistical Mechanics · Physics 2023-12-05 Yu-Huang Huang , Yin-Tao Zou , Chengxiang Ding

We address the time decay of the Loschmidt echo, measuring sensitivity of quantum dynamics to small Hamiltonian perturbations, in one-dimensional integrable systems. Using semiclassical analysis, we show that the Loschmidt echo may exhibit…

Exactly Solvable and Integrable Systems · Physics 2014-02-19 Remy Dubertrand , Arseni Goussev

We study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence of a longitudinal field which renders the model non-integrable. The dynamics of the spin chain is…

Statistical Mechanics · Physics 2015-10-07 Shraddha Sharma , Sei Suzuki , Amit Dutta

We address the computation of the Loschmidt echo in interacting integrable spin chains after a quantum quench. We focus on the massless regime of the XXZ spin-1/2 chain and present exact results for the dynamical free energy (Loschmidt echo…

Statistical Mechanics · Physics 2018-07-09 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

In this work we investigate the quench dynamics in the Kondo model on the Toulouse line in presence of a local magnetic field. It is shown that this setup can be realized by either applying the local magnetic field directly or by preparing…

Strongly Correlated Electrons · Physics 2010-09-13 Markus Heyl , Stefan Kehrein
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