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A Luttinger liquid (LL) describes low energy excitations of many interacting one dimensional systems, and exhibits universal response both in and out of equilibrium. We analyze its behaviour in the non-hermitian realm after quantum…

Strongly Correlated Electrons · Physics 2020-04-01 Balázs Dóra , Catalin Pascu Moca

We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite time the latter induces entanglement between right- and left- moving density…

Strongly Correlated Electrons · Physics 2017-08-18 Alessio Calzona , Filippo Maria Gambetta , Fabio Cavaliere , Matteo Carrega , Maura Sassetti

Luttinger liquids (LLs) arise by coupling left- and right-moving particles through interactions in one dimension. This most natural partitioning of LLs is investigated by the momentum-space entanglement after a quantum quench using…

Strongly Correlated Electrons · Physics 2016-07-01 Balázs Dóra , Rex Lundgren , Mark Selover , Frank Pollmann

We compute the dynamics of localized excitations produced by a quantum quench in the spin 1/2 XXZ chain. Using numerics combining the density matrix renormalization group and exact time evolution, as well as analytical arguments, we show…

Statistical Mechanics · Physics 2015-03-19 Matthew S. Foster , Timothy C. Berkelbach , David R. Reichman , Emil A. Yuzbashyan

We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase transition using an ultra-cold atomic gas trapped in an optical lattice. Quenching from the Mott insulator to superfluid phase is accomplished by…

Quantum Gases · Physics 2013-05-29 D. Chen , M. White , C. Borries , B. DeMarco

We investigate the emergence of an amplitude (Higgs-like) mode in the gapless phase of the $(1+1)$D XXZ spin chain. Unlike conventional settings where amplitude modes arise from spontaneous symmetry breaking, here, we identify a…

Strongly Correlated Electrons · Physics 2026-01-30 Hyunsoo Ha , David A. Huse , Rhine Samajdar

Determining the role of initial conditions in the late time evolution is a key issue for the theory of nonequilibrium dynamics of isolated quantum systems. Here we extend the theory of quantum quenches to the case in which before the quench…

Statistical Mechanics · Physics 2023-09-13 Gesualdo Delfino , Marianna Sorba

Using its Conformal Field Theory description, the Luttinger liquid is coupled to the quantum electromagnetic field. We compute the decoherence properties of a superposition of two states obtained by creating the same elementary excitation…

Strongly Correlated Electrons · Physics 2007-05-23 P. Degiovanni , S. Peysson

We previously showed that a quantum quench in a one-dimensional translation invariant system produces undamped oscillations of a local observable when the post-quench state includes a single-quasiparticle mode and the observable couples to…

Statistical Mechanics · Physics 2020-04-08 Gesualdo Delfino

The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality class with an exponential divergence of the correlation…

Statistical Mechanics · Physics 2017-03-29 Bartłomiej Gardas , Jacek Dziarmaga , Wojciech H. Zurek

We study quench dynamics and equilibration in one-dimensional quantum hydrodynamics, which provides effective descriptions of the density and velocity fields in gapless quantum gases. We show that the information content of the large time…

Statistical Mechanics · Physics 2017-09-26 Spyros Sotiriadis

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

Strongly Correlated Electrons · Physics 2015-06-12 N. Nessi , A. Iucci

We review some of the recent results on equilibration of one-dimensional quantum liquids. The low-energy properties of these systems are described by the Luttinger liquid theory, in which the excitations are bosonic quasiparticles. At low…

Strongly Correlated Electrons · Physics 2013-12-10 K. A. Matveev

Strong electron correlation drives 1T-TaS2 from a half-filled metallic state into a Mott insulating phase, coexisting with a charge density wave at low temperatures. Under external stimuli such as pressure or ionic gating, superconductivity…

Strongly Correlated Electrons · Physics 2026-03-04 Haiyang Chen , Zhiqiang Sun , Peng Chen

The illustrative wave function for a quantum disentangled liquid (QDL) composed of light and heavy particles is examined within numerical simulations. Initial measurement on light particles gives rise to the volume law of the entanglement…

Statistical Mechanics · Physics 2023-02-23 E. Abbasgholinejad , S. Raeisi , A. Langari

We consider the unitary time evolution of a one-dimensional quantum system which is in a stationary state for negative times and then undergoes a sudden change (quench) of a parameter of its Hamiltonian at t=0. For systems possessing a…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino

Power laws in physics have until now always been associated with a scale invariance originating from the absence of a length scale. Recently, an emergent invariance even in the presence of a length scale has been predicted by the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Y. Jin , O. Tsyplyatyev , M. Moreno , A. Anthore , W. K. Tan , J. P. Griffiths , I. Farrer , D. A. Ritchie , L. I. Glazman , A. J. Schofield , C. J. B. Ford

We analyze the conditions for entanglement amplification between distant and not directly interacting quantum objects by their common coupling to media with static modular structure and subject to a local (single-bond) quenched dynamics. We…

Quantum Physics · Physics 2013-08-20 Abolfazl Bayat , Salvatore M. Giampaolo , Fabrizio Illuminati , Martin B. Plenio

In the Luttinger model with non-local interaction we investigate, by exact analytical methods, the time evolution of an inhomogeneous state with a localized fermion added to the non interacting ground state. In absence of interaction the…

Statistical Mechanics · Physics 2015-03-10 Vieri Mastropietro , Zhituo Wang

Photon antibunching in the light scattered by single quantum emitters is one of the hallmarks of quantum optics, providing an unequivocal demonstration of the quantized nature of the electromagnetic field. Antibunching can be intuitively…

Quantum Physics · Physics 2017-02-03 Luigi Garziano , Alessandro Ridolfo , Simone De Liberato , Salvatore Savasta
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