Publisher’s Note: Spectral Properties of One-Dimensional Fermi Systems after an Interaction Quench [Phys. Rev. Lett.<b>113</b>, 116401 (2014)]

Kennes, Dante M.; Klöckner, C.; Meden, V.

doi:10.1103/physrevlett.113.139901

Cited by 10 publications

(19 citation statements)

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“…The long-time behavior of Eq. (17) immediately reflects on spectral properties, as one can see by inspecting the long-time limit of the local (lesser) NESF [45,57,58] A < (ω, t) ≡ 1 2π…”

Section: Time-dependent Spectral Functionmentioning

confidence: 99%

“…Here, A < ∞ (ω) =Ā 0Ā < ∞ (ω) is the steady-state value of the NESF, already discussed in Refs. [45,49]. In this work, we focus on the timedecay of A < (ω, t) towards this asymptotic value.…”

Section: Time-dependent Spectral Functionmentioning

confidence: 99%

“…In recent years the LL model has also been proven to be a very powerful tool for studying the dynamics of 1D systems after a quench of the interaction strength. In particular, the subsequent relaxation towards a steady-state and the characterization of the latter has been the focus of many recent works [22,23,[43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

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Quench-induced entanglement and relaxation dynamics in Luttinger liquids

et al. 2017

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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 times the latter induces entanglement between right-and left-moving density excitations, encoded in their cross-correlators, which vanishes in the long-time limit. This behavior results in a universal time-decay ∝ t −2 of the system spectral properties, in addition to non-universal power-law contributions typical of Luttinger liquids. Importantly, we argue that the presence of quench-induced entanglement clearly emerges in transport properties, such as charge and energy currents injected in the system from a biased probe, and determines their long-time dynamics. In particular, the energy fractionalization phenomenon turns out to be a promising platform to observe the universal power-law decay ∝ t −2 induced by entanglement and represents a novel way to study the corresponding relaxation mechanism.

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Section: Time-dependent Spectral Functionmentioning

confidence: 99%

Section: Time-dependent Spectral Functionmentioning

confidence: 99%

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Quench-induced entanglement and relaxation dynamics in Luttinger liquids

et al. 2017

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“…The quantum quench of homogeneous states in the LLM was derived in [9,10], and that in the NLLM was derived in [19,20]; the effects of other ultraviolet cutoffs on the dynamics, like a lattice, after a quench have also been discussed [21,22,29]. Regarding the quantum quench of inhomogeneous states, in [15] the dynamical evolution in the LLM of a domainwall state was considered as an approximate description for the analogous problem in the spin-XXZ spin chain.…”

Section: Introductionmentioning

confidence: 99%

Quantum quench for inhomogeneous states in the nonlocal Luttinger model

Mastropietro

Wang

2015

Phys. Rev. B

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In the Luttinger model with nonlocal interaction we investigate, by exact analytical methods, the time evolution of an inhomogeneous state with a localized fermion added to the noninteracting ground state. In the absence of interaction the averaged density has two peaks moving in opposite directions with constant velocities. If the state is evolved with the interacting Hamiltonian, two main effects appear. The first is that the peaks have velocities which are not constant but vary between a minimal and maximal value. The second is that a dynamical "Landau quasiparticle weight" appears in the oscillating part of the averaged density, asymptotically vanishing with time, as a consequence of the fact that fermions are not excitations of the interacting Hamiltonian.

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“…Quantum quenches have been studied in a wide range of systems with the property that a change in a parameter of the Hamiltonian deeply affects the physical properties of the system itself. Interaction quenches in Luttinger liquids [24][25][26][27][28][29][30][31][32][33][34][35][36] and magnetic field quenches in the one-dimensional (1D) Ising model [37][38][39][40][41][42][43][44][45][46][47] are prominent examples in this direction. Furthermore, at the level of free fermions, quantum quenches between gapped phases characterized by different Chern numbers have also been studied [48][49][50][51] .…”

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confidence: 99%

Nonmonotonic response and light-cone freezing in fermionic systems under quantum quenches from gapless to gapped or partially gapped states

et al. 2018

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The properties of prototypical examples of one-dimensional fermionic systems undergoing a sudden quantum quench from a gapless state to a (partially) gapped state are analyzed. By means of a Generalized Gibbs Ensemble analysis or by numerical solutions in the interacting cases, we observe an anomalous, non-monotonic response of steady state correlation functions as a function of the strength of the mechanism opening the gap. In order to interpret this result, we calculate the full dynamical evolution of these correlation functions, which shows a freezing of the propagation of the quench information (light cone) for large quenches. We argue that this freezing is responsible for the non-monotonous behaviour of observables. In continuum non-interacting models, this freezing can be traced back to a Klein-Gordon equation in the presence of a source term. We conclude by arguing in favour of the robustness of the phenomenon in the cases of non-sudden quenches and higher dimensionality.PACS numbers: 67.85. Lm, 05.70.Ln, 71.70.Ej, 05.30.Fk Non-equilibrium quantum physics is at the heart of most relevant applications of solid state physics, such as transistors and lasers [1][2][3] . More fundamentally, one of the main difficulties in studying many-body non-equilibrium quantum physics is represented by the unavoidable interactions that any quantum system has with its surroundings. This coupling is difficult to control and causes an effectively non-unitary evolution even on short time scales 4 . The recent advent of cold atom physics 5 allowed not only to access quantum systems characterized by weak coupling to the environment, but also to engineer Hamiltonians which show non-ergodic behavior 6,7 : the so called integrable systems 8 . Moreover, in the context of cold atom physics, it is possible to manipulate the parameters of the Hamiltonian in a time dependent and controllable fashion 7,9-12 . The combination of these three ingredients gave rise to a renewed interest in the physics of quantum quenches [13][14][15][16][17] , which led to the birth of a new thermodynamic ensemble, the Generalized Gibbs Ensemble (GGE) 1,[18][19][20][21]23 . Quantum quenches have been studied in a wide range of systems with the property that a change in a parameter of the Hamiltonian deeply affects the physical properties of the system itself. Interaction quenches in Luttinger liquids [24][25][26][27][28][29][30][31][32][33][34][35][36] and magnetic field quenches in the one-dimensional (1D) Ising model [37][38][39][40][41][42][43][44][45][46][47] are prominent examples in this direction. Furthermore, at the level of free fermions, quantum quenches between gapped phases characterized by different Chern numbers have also been studied [48][49][50][51] . However, not much attention has been devoted to the study of quantum quenches between gapless and gapped states. A notable exception is represented by quantum quenches from a Luttinger liquid to a sine-Gordon model [52][53][54][55][56][57][58][59][60][61] and quantum time mirrors 62 . However...

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Publisher’s Note: Spectral Properties of One-Dimensional Fermi Systems after an Interaction Quench [Phys. Rev. Lett.113, 116401 (2014)]

Cited by 10 publications

References 0 publications

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

Quantum quench for inhomogeneous states in the nonlocal Luttinger model

Nonmonotonic response and light-cone freezing in fermionic systems under quantum quenches from gapless to gapped or partially gapped states

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