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A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantum many-body systems undergoing spontaneous symmetry breaking…

Statistical Mechanics · Physics 2024-12-10 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

Correlated systems with hexagonal layered structures have come to fore with renewed interest in Cobaltates, transition-metal dichalcogenides and GdI2. While superconductivity, unusual metal and possible exotic states (prevented from long…

Strongly Correlated Electrons · Physics 2015-05-18 Umesh K. Yadav , T. Maitra , Ishwar Singh , A. Taraphder

Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy…

Quantum Physics · Physics 2009-11-10 Christopher M. Dawson , Michael A. Nielsen

Enhancing robustness of topological orders against perturbations is one of the main goals in topological quantum computing. Since the kinetic of excitations is in conflict with the robustness of topological orders, any mechanism that…

Strongly Correlated Electrons · Physics 2023-10-24 J. Abouie , M. H. Zarei

We perform molecular dynamics simulations on an interacting electron gas confined to a cylindrical surface and subject to a radial magnetic field and the field of the positive background. In order to study the system at lowest energy states…

Statistical Mechanics · Physics 2009-11-07 Vishal Mehra , Jayme De Luca

A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes in exactly solvable one-dimensional quantum…

Strongly Correlated Electrons · Physics 2023-04-25 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

The degree of nonclassicality of states of a field mode is analysed considering both phase-space and distance-type measures of nonclassicality. By working out some general examples, it is shown explicitly that the phase-space measure is…

Quantum Physics · Physics 2009-11-07 J. M. C. Malbouisson , B. Baseia

The critical behavior of driven lattice gas models has been studied for decades as a paradigm to explore nonequilibrium phase transitions and critical phenomena. However, there exists a long-standing controversy in the universality classes…

Statistical Mechanics · Physics 2019-09-04 Yahui Li , Zhongda Zeng , Fan Zhong

We study the static behavior of a gas of atoms held in a one-dimensional lattice where two distinct electronically high-lying Rydberg states are simultaneously excited by laser light. We focus on a situation where interactions of…

Atomic Physics · Physics 2016-01-20 Emanuele Levi , Jiří Minář , Juan P. Garrahan , Igor Lesanovsky

Ground state phases of a generalized XY model with magnetic and generalized nematic couplings on a non-bipartite triangular lattice are investigated in the exchange interactions parameter space. We demonstrate that the model displays a…

Statistical Mechanics · Physics 2016-08-03 Milan Žukovič

The application of an external field often renders empirical criteria for identifying liquid-gas phase transitions ambiguous. Here, we demonstrate that the finite-size scaling of the density profile provides a definitive criterion to…

Statistical Mechanics · Physics 2025-10-28 Chong Zha , Yanshuang Chen , Cheng-Ran Du , Peng Tan , Yuliang Jin

We propose a model for a two dimensional, associative water-like lattice gas with one single variable representing both long and short-range interactions. The corresponding hamiltonian was solved exactly, by state enumeration in a finite…

Statistical Mechanics · Physics 2011-11-21 Marcelo R. Thielo , Marcia C. B. Barbosa

We review recent results on lattice models for spin-less fermions with strong repulsive interactions. A judicious tuning of kinetic and interaction terms leads to a model possessing supersymmetry. In the 1D case, this model displays…

Mathematical Physics · Physics 2017-08-23 L. Huijse , K. Schoutens

Stochastic point processes with Coulomb interactions arise in various natural examples of statistical mechanics, random matrices and optimization problems. Often such systems due to their natural repulsion exhibit remarkable hyperuniformity…

Probability · Mathematics 2019-05-02 Shirshendu Ganguly , Sourav Sarkar

The concept of geometrical frustration in condensed matter physics refers to the fact that a system has a locally preferred structure with an energy density lower than the infinite ground state. This notion is however often used in a…

Statistical Mechanics · Physics 2019-12-04 Pierre Ronceray , Bruno Le Floch

Lattice models are powerful tools for studying strongly correlated quantum many-body systems, but their general lack of exact solutions motivates efforts to simulate them in tunable platforms. Recently, a promising new candidate has emerged…

Strongly Correlated Electrons · Physics 2026-01-27 Yiqi Yang , Yubo Yang , Miguel A. Morales , Shiwei Zhang

It has recently been shown that one-dimensional Ising problems can have degenerate, disordered ground states (GSs) over a finite range of coupling onstants, ie, without `fine tuning'. The disorder is however of a special kind, consisting of…

Condensed Matter · Physics 2016-08-31 Jaichul Yi , Geoff S. Canright

Ground states of the frustrated spin-1 Ising-Heisenberg two-leg ladder with Heisenberg intra-rung coupling and only Ising interaction along legs and diagonals are rigorously found by taking advantage of local conservation of the total spin…

Statistical Mechanics · Physics 2023-07-19 Jozef Strecka , Frederic Michaud , Frederic Mila

We study a supersymmetric model for strongly interacting lattice fermions in the presence of a staggering parameter. The staggering is introduced as a tunable parameter in the manifestly supersymmetric Hamiltonian. We obtain analytic…

Strongly Correlated Electrons · Physics 2011-10-26 L. Huijse , N. Moran , J. Vala , K. Schoutens

Pure gauge theories are rather different from theories with pure scalar and fermionic matter, especially in terms of the nature of excitations. For example, in scalar and fermionic theories, one can create ultra-local excitations. For a…

High Energy Physics - Lattice · Physics 2021-11-19 Paolo Stornati , Debasish Banerjee , Karl Jansen , Philipp Krah