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Related papers: Long Time Behvaior of the Kondo Model After a Quen…

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We consider a quantum quench from the strongly correlated ground state of the Kondo model to a Fermi sea. We calculate the overlap between the ground states before and after the quench, as well as the Loschmidt echo, that is, the transition…

Strongly Correlated Electrons · Physics 2019-02-27 C. D. Pelwan , I. Snyman

Computing the non-equilibrium dynamics that follows a quantum quench is difficult, even in exactly solvable models. Results are often predicated on the ability to compute overlaps between the initial state and eigenstates of the Hamiltonian…

Statistical Mechanics · Physics 2021-12-11 Neil J. Robinson , Albertus J. J. M. de Klerk , Jean-Sébastien Caux

We examine the dynamics of a correlated quantum dot in the mixed valence regime. We perform numerically exact calculations of the current after a quantum quench from equilibrium by rapidly applying a bias voltage in a wide range of initial…

Strongly Correlated Electrons · Physics 2016-01-27 Andrey E. Antipov , Qiaoyuan Dong , Emanuel Gull

Quenches are now routinely used in synthetic quantum systems to study a variety of fundamental effects, including ergodicity breaking, light-cone-like spreading of information, and dynamical phase transitions. It was shown recently that the…

Quantum Gases · Physics 2020-01-10 Louis Villa , Julien Despres , Laurent Sanchez-Palencia

The dynamics after a quantum quench is determined by the weights of the initial state in the eigenspectrum of the final Hamiltonian, i.e., by the distribution of overlaps in the energy spectrum. We present an analysis of such overlap…

Strongly Correlated Electrons · Physics 2016-02-19 Paolo P. Mazza , Jean-Marie Stéphan , Elena Canovi , Vincenzo Alba , Michael Brockmann , Masudul Haque

We analyze the dynamics of a Luttinger model following a quench in the electron-electron interaction strength, where the change in the interaction strength occurs over a finite time scale $\tau$. We study the Loschmidt echo (the overlap…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Rashi Sachdeva , Tanay Nag , Amit Agarwal , Amit Dutta

We use a numerical solution of the deterministic TDGL equations to determine the response induced by a probe field in a material quenched into a superconducting state. We characterize differences in response according to whether the probe…

Superconductivity · Physics 2017-08-09 D. M. Kennes , A. J. Millis

We present here the details of a method [A. B. Culver and N. Andrei, Phys. Rev. B 103, L201103 (2021)] for calculating the time-dependent many-body wavefunction that follows a local quench. We apply the method to the voltage-driven…

Strongly Correlated Electrons · Physics 2021-06-29 Adrian B. Culver , Natan Andrei

We present a method for calculating the time-dependent many-body wavefunction that follows a local quench. We apply the method to the voltage-driven nonequilibrium Kondo model to find the exact time-evolving wavefunction following a quench…

Strongly Correlated Electrons · Physics 2021-06-29 Adrian B. Culver , Natan Andrei

In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum…

Statistical Mechanics · Physics 2019-09-04 Kristóf Hódsági , Márton Kormos , Gábor Takács

In this work we investigate the equilibration dynamics after a sudden Hamiltonian quench of a quantum spin system initially prepared in a thermal state. To characterize the equilibration we evaluate the Loschmidt echo, a global measure for…

Quantum Physics · Physics 2011-09-13 N. Tobias Jacobson , Lorenzo Campos Venuti , Paolo Zanardi

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 relate the probability distribution of the work done on a statistical system under a sudden quench to the Lanczos coefficients corresponding to evolution under the post-quench Hamiltonian. Using the general relation between the moments…

Quantum Physics · Physics 2023-09-19 Kuntal Pal , Kunal Pal , Ankit Gill , Tapobrata Sarkar

We analyze the time-dependent formation of the spectral function of an Anderson impurity model in the Kondo regime within a numerically exact real-time quantum Monte Carlo framework. At steady state, splitting of the Kondo peak occurs with…

Strongly Correlated Electrons · Physics 2019-11-20 Igor Krivenko , Joseph Kleinhenz , Guy Cohen , Emanuel Gull

A quench in an underdamped one dimensional $\phi^4$ model is studied by analytical methods. The density of kinks just after the transition is proportional to the square root of the rate of the quench for slow quenches. If the quench is…

Condensed Matter · Physics 2009-10-31 Jacek Dziarmaga

We study a quantum quench of the mass and the interaction in the Sinh-Gordon model starting from a large initial mass and zero initial coupling. Our focus is on the determination of the expansion of the initial state in terms of post-quench…

Statistical Mechanics · Physics 2014-10-07 Spyros Sotiriadis , Gabor Takacs , Giuseppe Mussardo

We use the Quench Action approach to study the non-equilibrium dynamics after a quantum quench in the Hubbard model in the limit of infinite interaction. We identify a variety of low-entangled initial states for which we can directly…

Statistical Mechanics · Physics 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

In this work we study a quench between a Mott insulator and a repulsive Lieb-Liniger liquid. We find explicitly the stationary state when a long time has passed after the quench. It is given by a GGE density matrix which we completely…

Quantum Gases · Physics 2015-06-22 G. Goldstein , N. Andrei

The time-development of the Kondo effect is theoretically investigated by studying a quantum dot suddenly shifted into the Kondo regime by a change of voltage on a nearby gate. Using time-dependent versions of both the Anderson and Kondo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Peter Nordlander , Michael Pustilnik , Yigal Meir , Ned S. Wingreen , David C. Langreth

Motivated by recent experiments on molecular quantum dots we investigate the relaxation of pure spin states when coupled to metallic leads. Under suitable conditions these systems are well described by a ferromagnetic Kondo model. Using two…

Strongly Correlated Electrons · Physics 2009-12-01 Andreas Hackl , David Roosen , Stefan Kehrein , Walter Hofstetter
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