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We investigate the time evolution of a Fermi-Hubbard model with long range hopping following a sudden quench of the local interactions among different spin species. The quasi-particle spectrum consists of gapped low-energy levels while the…

Quantum Physics · Physics 2024-07-09 Daniel Arrufat-Vicente , Nicolò Defenu

We present a general sufficiency condition for the presence of multipartite entanglement in thermal states stemming from the ground state entanglement. The condition is written in terms of the ground state entanglement and the partition…

Quantum Physics · Physics 2008-02-13 Damian Markham , Janet Anders , Vlatko Vedral , Mio Murao , Akimasa Miyake

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

Strongly correlated analogues of topological insulators have been explored in systems with purely on-site symmetries, such as time-reversal or charge conservation. Here, we use recently developed tensor network tools to study a quantum…

Strongly Correlated Electrons · Physics 2015-11-11 Brayden Ware , Itamar Kimchi , S. A. Parameswaran , Bela Bauer

There exist a number of results proving that for certain classes of interacting particle systems in population genetics, mutual invadability of types implies coexistence. In this paper we prove a sort of converse statement for a class of…

Probability · Mathematics 2013-03-21 Jan M. Swart

Many body models undergoing a quantum phase transition to a broken-symmetry phase that survives up to a critical temperature must possess, in the ordered phase, symmetric as well as non-symmetric eigenstates. We predict, and explicitly show…

Strongly Correlated Electrons · Physics 2015-06-11 Giacomo Mazza , Michele Fabrizio

For any D-dimensional quantum lattice system, the fidelity between two ground state many-body wave functions is mapped onto the partition function of a D-dimensional classical statistical vertex lattice model with the same lattice geometry.…

Statistical Mechanics · Physics 2008-03-03 Huan-Qiang Zhou , Roman Orus , Guifre Vidal

We investigate quantum many-body systems where all low-energy states are entangled. As a tool for quantifying such systems, we introduce the concept of the entanglement gap, which is the difference in energy between the ground-state energy…

Quantum Physics · Physics 2007-05-23 Mark R. Dowling , Andrew C. Doherty , Stephen D. Bartlett

Entanglement properties of the trial many-body wave functions in variational treatments of the transverse Ising model in two, three, and four dimensions are investigated. Based on data for magnetizations and correlation functions generated…

Statistical Mechanics · Physics 2007-05-23 J. W. Clark , A. Mandilara , M. L. Ristig

We consider the scaling limit of a generic ferromagnetic system with a continuous phase transition, on the half plane with boundary conditions leading to the equilibrium of two different phases below criticality. We use general properties…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino , Alessio Squarcini

Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used to describe real experiments, which do not have the symmetry…

Mathematical Physics · Physics 2012-06-03 B. M. McCoy , J-M. Maillard

We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation we show how a quench from a broken symmetry state leads to…

Quantum Physics · Physics 2024-03-06 Joseph Tindall , Dries Sels

We report a peculiar tunneling phenomenon that occurs in lattices with nonreciprocal couplings. The nonreciprocity holds for an inner portion of the lattice, constituting a non-Hermitian interface between outer Hermitian sections. The…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Sayan Jana , Lea Sirota

It has previously been suggested that small subsystems of closed quantum systems thermalize under some assumptions; however, this has been rigorously shown so far only for systems with very weak interaction between subsystems. In this work,…

Quantum Physics · Physics 2021-03-31 Markus P. Mueller , Emily Adlam , Lluis Masanes , Nathan Wiebe

We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasi-particle…

Strongly Correlated Electrons · Physics 2020-07-01 Bart van Voorden , Jiří Minář , Kareljan Schoutens

Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be…

Quantum Physics · Physics 2013-05-29 Xie Chen , Bei Zeng , Zhengcheng Gu , Beni Yoshida , Isaac L. Chuang

We consider measurement-based quantum computation using the state of a spin-lattice system in equilibrium with a thermal bath and free to evolve under its own Hamiltonian. Any single qubit measurements disturb the system from equilibrium…

Quantum Physics · Physics 2009-09-23 David Jennings , Andrzej Dragan , Sean D. Barrett , Stephen D. Bartlett , Terry Rudolph

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

Quantum Physics · Physics 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature $1/\beta\in(0,\infty)$. The ground state is a periodic lattice. We show that when the…

Mathematical Physics · Physics 2021-11-24 Sabine Jansen , Wolfgang König , Bernd Schmidt , Florian Theil

We report about a mechanism for surface localization, present in finite defect-free polyatomic lattices described by a tight binding model. Numerical diagonalization and degenerated perturbation theory show that there is a minimum number of…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Ricardo A. Pinto