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We study quantum quenches in the two-dimensional Kitaev toric code model and compute exactly the time-dependent entanglement entropy of the non-equilibrium wave-function evolving from a paramagnetic initial state with the toric code…

Statistical Mechanics · Physics 2010-10-21 Armin Rahmani , Claudio Chamon

We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in a disordered parallel magnetic field. This system is known to exhibit the many body localization (MBL) transition at critical strength of disorder. We analyze the…

Disordered Systems and Neural Networks · Physics 2017-03-01 Canran Xu , Maxim G. Vavilov

We study Nielsen's circuit complexity in a periodic harmonic oscillator chain, under single and multiple quenches. In a multiple quench scenario, it is shown that the complexity shows remarkably different behaviour compared to the other…

Quantum Physics · Physics 2023-06-07 Kuntal Pal , Kunal Pal , Ankit Gill , Tapobrata Sarkar

We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to…

Nuclear Theory · Physics 2016-04-28 Sebastian König , Harald W. Grießhammer , H. -W. Hammer , U. van Kolck

In this work, motivated by the sine-square deformation (SSD) for (1+1)-dimensional quantum critical systems, we study the non-equilibrium quantum dynamics of a conformal field theory (CFT) with SSD, which was recently proposed to have…

Strongly Correlated Electrons · Physics 2018-06-13 Xueda Wen , Jie-Qiang Wu

A local theory with a local correlation is proposed to give an explanation for the contractions in the GHZ-like proofs for Bell's theorem and the violation to Bell's inequality. It agrees with the experimental predictions for the GHZ state…

Quantum Physics · Physics 2008-08-27 W LiMing , Zhilie Tang

There are two free coupling parameters $c_{13}$ and $c_{14}$ in the Einstein-\AE ther metric describing a non-rotating black hole. This metric is the Reissner-Nordstr\"{o}m black hole solution when $0\leq 2c_{13}<c_{14}<2$, but it is not…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Caiyu Liu , Xin Wu

How fast quantum information scrambles such that it becomes inaccessible by local probes turns out to be central to various fields. Motivated by recent works on spin systems with nonlocal interactions, we study information scrambling in…

Quantum Physics · Physics 2023-05-24 Darvin Wanisch , Juan Diego Arias Espinoza , Stephan Fritzsche

We consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and…

High Energy Physics - Theory · Physics 2026-01-30 Kazuki Doi , Tadashi Takayanagi

We investigate a class of exactly solvable quantum quench protocols with a finite quench rate in systems of one dimensional non-relativistic fermions in external harmonic oscillator or inverted harmonic oscillator potentials, with time…

High Energy Physics - Theory · Physics 2019-10-21 Sumit R. Das , Shaun Hampton , Sinong Liu

We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The…

Strongly Correlated Electrons · Physics 2021-02-26 Ádám Bácsi , Balázs Dóra

We study the free fermion theory in 1+1 dimensions deformed by chemical potentials for holomorphic, conserved currents at finite temperature and on a spatial circle. For a spin-three chemical potential \mu, the deformation is related at…

High Energy Physics - Theory · Physics 2015-04-13 Shouvik Datta , Justin R. David , S. Prem Kumar

One-dimensional systems exhibiting a continuous symmetry can host quantum phases of matter with true long-range order only in the presence of sufficiently long-range interactions. In most physical systems, however, the interactions are…

The ground-state phase diagram and quantum phase transitions (QPTs) in a spin-1 compass chain are investigated by the infinite time-evolving block decimation (iTEBD) method. Various phases are discerned by energy densities, spin…

Strongly Correlated Electrons · Physics 2015-11-11 Guang-Hua Liu , Long-Juan Kong , Wen-Long You

Quantum Ising model in one dimension is an exactly solvable example of a quantum phase transition. We investigate its behavior during a quench from a paramagnetic to ferromagnetic phase caused by a gradual turning off of the transverse…

Strongly Correlated Electrons · Physics 2008-11-26 Lukasz Cincio , Jacek Dziarmaga , Marek M. Rams , Wojciech H. Zurek

We examine relative entropy in the context of the higher-spin/CFT duality. We consider 3$d$ bulk configurations in higher spin gravity which are dual to the vacuum and a high temperature state of a CFT with $\mathcal{W}$-algebra symmetries…

High Energy Physics - Theory · Physics 2014-12-30 Shouvik Datta

The time dependent quantum Monte Carlo method for fermions is introduced and applied for calculation of entanglement of electrons in one-dimensional quantum dots with several spin-polarized and spin-compensated electron configurations. The…

Quantum Physics · Physics 2021-07-09 Ivan P. Christov

We study one-dimensional lattices of interacting spins-1/2 and show that the effects of quenching the amplitude of a local magnetic field applied to a single site of the lattice can be comparable to the effects of a global perturbation…

Statistical Mechanics · Physics 2015-06-18 E. J. Torres-Herrera , Lea F. Santos

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We consider the theory of $N$ free Dirac fermions with a uniformly winding mass, $m e^{iqx}$, in two spacetime dimensions. This theory (which describes for instance a superconducting current in an $N$-channel wire) has been proposed to have…

High Energy Physics - Theory · Physics 2022-02-23 Sergei Khlebnikov , Akhil Sheoran
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