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We study correlations in a bipartite, Fermionic, free state in terms of perturbations induced by one party on the other. In particular, we show that all so conditioned free states can be modelled by an auxiliary Fermionic system and a…

Quantum Physics · Physics 2009-12-04 M. Fannes , J. Wouters

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 P. L. Krapivsky , J. M. Luck , K. Mallick

The proton momentum and density distributions of closed shell nuclei are calculated within a model treating short--range correlations up to first order in the cluster expansion. The validity of the model is verified by comparing the results…

Nuclear Theory · Physics 2008-11-26 F. Arias de Saavedra , G. Co' , M. M. Renis

We investigate transport of spinless fermions through a single site dot junction of M one-dimensional quantum wires. The semi-infinite wires are described by a tight-binding model. Each wire consists of two parts: the non-interacting leads…

Strongly Correlated Electrons · Physics 2009-11-11 X. Barnabe-Theriault , A. Sedeki , V. Meden , K. Schoenhammer

The model of an open Fermi-system is used for studying the interplay of intrinsic chaos and irreversible decay into open continuum channels. Two versions of the model are characterized by one-body chaos coming from disorder or by many-body…

Disordered Systems and Neural Networks · Physics 2014-03-31 S. Sorathia , F. M. Izrailev , G. L. Celardo , V. G. Zelevinsky , G. P. Berman

We consider local quenches from initial states generated by a single spin-flip in either the true or the false vacuum state of the confining quantum Ising spin chain in the ferromagnetic regime. Contrary to global quenches, where the…

Statistical Mechanics · Physics 2024-05-29 A. Krasznai , G. Takács

Topological phases of matter remain a focus of interest due to their unique properties -- fractionalisation, ground state degeneracy, and exotic excitations. While some of these properties can occur in systems of free fermions, their…

Strongly Correlated Electrons · Physics 2018-03-06 Konstantinos Meichanetzidis , Christopher J. Turner , Ashk Farjami , Zlatko Papić , Jiannis K. Pachos

We study the sudden expansion of spin-imbalanced ultracold lattice fermions with attractive interactions in one dimension after turning off the longitudinal confining potential. We show that the momentum distribution functions of majority…

Strongly Correlated Electrons · Physics 2012-09-19 C. J. Bolech , F. Heidrich-Meisner , S. Langer , I. P. McCulloch , G. Orso , M. Rigol

We present a detailed perturbative study of the dynamics of several types of atom-atom correlations in the famous Fermi problem. This is an archetypal model to study micro-causality in the quantum domain where two atoms, the first initially…

In quantum many-body systems with local interactions, quantum information and entanglement cannot spread outside of a linear light cone, which expands at an emergent velocity analogous to the speed of light. Local operations at sufficiently…

S=1/2 quantum spin chains and ladders with random exchange coupling are studied by using an effective low-energy field theory and transfer matrix methods. Effects of the nonlocal correlations of exchange couplings are investigated…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Takeda , I. Ichinose

It is shown that transient spin-spin correlations in one-dimensional spin S>>1 chain can be enhanced for initially factorized and individually squeezed spin states. Such correlation transfer form "internal" to "external" degrees of freedom…

Quantum Physics · Physics 2016-11-02 I. F. Valtierra , J. L. Romero , A. B. Klimov

One-dimensional reaction-diffusion systems are mapped through a similarity transformation onto integrable (and a priori non-stochastic) quantum chains. Time-dependent properties of these chemical models can then be found exactly. The…

Statistical Mechanics · Physics 2009-10-28 Malte Henkel , Enzo Orlandini , Jaime Santos

For several types of correlations: mixed-state entanglement in systems of distinguishable particles, particle entanglement in systems of indistinguishable bosons and fermions and non-Gaussian correlations in fermionic systems we estimate…

Quantum Physics · Physics 2015-06-18 Michał Oszmaniec , Marek Kuś

How fast can correlations spread in a quantum many-body system? Based on the seminal work by Lieb and Robinson, it has recently been shown that several interacting many-body systems exhibit an effective light cone that bounds the…

We theoretically study propagating correlation fronts in non-interacting fermions on a one-dimensional lattice starting from an alternating state, where the fermions occupy every other site. We find that, in the long-time asymptotic regime,…

Quantum Physics · Physics 2024-03-26 Kazuya Fujimoto , Tomohiro Sasamoto

We consider the non-equilibrium physics induced by joining together two tight binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains…

Statistical Mechanics · Physics 2016-09-29 Jacopo Viti , Jean-Marie Stéphan , Jérôme Dubail , Masudul Haque

We derived the low energy effective action for the collective modes in asymmetric fermionic systems with attractive interaction. We obtained the phase diagram in terms of the chemical potentials. It features a stable gapless superfluidity…

Quantum Gases · Physics 2015-05-13 Elena Gubankova

Signal propagation in the non equilibirum evolution after quantum quenches has recently attracted much experimental and theoretical interest. A key question arising in this context is what principles, and which of the properties of the…

Strongly Correlated Electrons · Physics 2014-11-12 Lars Bonnes , Fabian H. L. Essler , Andreas M. Läuchli

Locality imposes stringent constraints on the spreading of information in nonrelativistic quantum systems, which is reminiscent of a "light-cone," a casual structure arising in their relativistic counterparts. Long-range interactions can…

Disordered Systems and Neural Networks · Physics 2019-02-06 David J. Luitz , Yevgeny Bar Lev