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Quantum graphity is a background independent model for emergent geometry, in which space is represented as a complete graph. The high-energy pre-geometric starting point of the model is usually considered to be the complete graph, however…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Samuel A. Wilkinson , Andrew D. Greentree

We employ the Quench Action Method (QAM) for a recently considered geometrical quantum quench: two free fermionic chains initially at different temperatures are joined together in the middle and let evolve unitarily with a translation…

Statistical Mechanics · Physics 2015-02-25 Andrea De Luca , Gabriele Martelloni , Jacopo Viti

We model an isolated quantum computer as a two-dimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings. In the limit when fluctuations and couplings are small…

Quantum Physics · Physics 2009-11-06 Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

We study the non equilibrium dynamics in the fermionic Hubbard model after a sudden change of the interaction strength. To this scope, we introduce a time dependent variational approach in the spirit of the Gutzwiller ansatz. At the…

Strongly Correlated Electrons · Physics 2015-05-27 Marco Schiro' , Michele Fabrizio

We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the…

High Energy Physics - Theory · Physics 2017-09-04 Philippe Sabella-Garnier

We investigate equilibration and generalized thermalization of the quantum Harmonic chain under local quantum quench. The quench action we consider is connecting two disjoint harmonic chains of different sizes and the system jumps between…

Quantum Physics · Physics 2018-01-31 Sushruth Muralidharan , Kinjalk Lochan , S. Shankaranarayanan

Charge and energy fractionalization are among the most intriguing features of interacting onedimensional fermion systems. In this work we determine how these phenomena are modified in the presence of an interaction quench. Charge and energy…

Strongly Correlated Electrons · Physics 2017-02-02 Alessio Calzona , Filippo Maria Gambetta , Matteo Carrega , Fabio Cavaliere , Maura Sassetti

We study the scaling properties of the statistics of the work done on a generic many-body system at a quantum phase transition of any order and type, arising from quenches of a driving control parameter. For this purpose we exploit a…

Statistical Mechanics · Physics 2019-03-18 Davide Nigro , Davide Rossini , Ettore Vicari

This work deals with the average scattering entropy of quantum graphs. We explore this concept in several distinct scenarios that involve periodic, aperiodic and random distribution of vertices of distinct degrees. In particular, we compare…

Quantum Physics · Physics 2022-04-13 Alison A. Silva , Fabiano M. Andrade , D. Bazeia

Boundary conditions in quantum graph vertices are generally given in terms of a unitary matrix $U$. Observing that if $U$ has at most two eigenvalues, then the scattering matrix $\mathcal{S}(k)$ of the vertex is a linear combination of the…

Mathematical Physics · Physics 2011-10-06 Ondřej Turek , Taksu Cheon

We consider the question of thermalization for isolated quantum systems after a sudden parameter change, a so-called quantum quench. In part icular we investigate the pre-requisites for thermalization focusing on the statistical properties…

Quantum Gases · Physics 2011-01-10 G. Biroli , C. Kollath , A. Laeuchli

We employ equation of motion techniques to study the non-equilibrium dynamics in a lattice model of weakly interacting spinless fermions. Our model provides a simple setting for analyzing the effects of weak integrability breaking…

Statistical Mechanics · Physics 2016-12-13 Bruno Bertini , Fabian H. L. Essler , Stefan Groha , Neil J. Robinson

Flat-band superconductors provide a regime in which kinetic energy is quenched, so that pairing is governed primarily by interactions and quantum geometry. We investigate characteristic superconducting length scales in all-flat-band systems…

Superconductivity · Physics 2026-05-13 S. S. Elden , M. Iskin

We study the possible breakdown of quantum thermalization in a model of itinerant electrons on a one-dimensional chain without disorder, with both spin and charge degrees of freedom. The eigenstates of this model exhibit peculiar properties…

Statistical Mechanics · Physics 2017-02-20 James R. Garrison , Ryan V. Mishmash , Matthew P. A. Fisher

We study the universality of work statistics performed during a quench in gapless quantum systems. We show that the cumulants of work scale separately in the fast and slow quench regimes, following a power law analogous to the universal…

Quantum Physics · Physics 2025-11-21 Donny Dwiputra , Mir Faizal , Francesco Marino , Freddy P. Zen

It has been shown that a quantum quench of interactions in a one-dimensional fermion system at zero temperature induces a universal power law $\propto t^{-2}$ in its long-time dynamics. In this paper we demonstrate that this behaviour is…

Strongly Correlated Electrons · Physics 2018-05-16 Alessio Calzona , Filippo Maria Gambetta , Matteo Carrega , Fabio Cavaliere , Thomas L. Schmidt , Maura Sassetti

We present the exact solution of the Falicov-Kimball model after a sudden change of its interaction parameter using non-equilibrium dynamical mean-field theory. For different interaction quenches between the homogeneous metallic and…

Strongly Correlated Electrons · Physics 2008-04-08 Martin Eckstein , Marcus Kollar

The one-dimensional quantum breakdown model, which features spatially asymmetric fermionic interactions simulating the electrical breakdown phenomenon, exhibits an exponential U(1) symmetry and a variety of dynamical phases including…

Strongly Correlated Electrons · Physics 2024-08-27 Yu-Min Hu , Biao Lian

Random pure states of multi-partite quantum systems, associated with arbitrary graphs, are investigated. Each vertex of the graph represents a generic interaction between subsystems, described by a random unitary matrix distributed…

Mathematical Physics · Physics 2019-02-27 Benoit Collins , Ion Nechita , Karol Zyczkowski

We present here an extension of the Wang-Landau Monte Carlo method which allows us to get very accurate estimates of the full probability distributions of several observables after a quantum quench for large systems, whenever the relevant…

Statistical Mechanics · Physics 2015-06-09 Simone Ziraldo , Giuseppe E. Santoro