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We study spatial anisotropy effects on the bulk and finite-size critical behavior of the O$(n)$ symmetric anisotropic $\phi^4$ lattice model with periodic boundary conditions in a $d$-dimensional hypercubic geometry above, at and below…

Statistical Mechanics · Physics 2009-11-13 Volker Dohm

We investigate the evolution of entanglement spectra under a global quantum quench from a short-range correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra…

Statistical Mechanics · Physics 2019-11-11 Qicheng Tang , W. Zhu

Quantum batteries, miniaturized devices able to store and release energy on demand, are promising both because their intrinsic energy and time scales can match those of other quantum technologies and due to the intriguing possibility of…

We introduce the single-copy entanglement as a quantity to assess quantum correlations in the ground state in quantum many-body systems. We show for a large class of models that already on the level of single specimens of spin chains,…

Quantum Physics · Physics 2009-11-11 J. Eisert , M. Cramer

We use computer simulations to investigate the extended phase diagram of a supercooled liquid linearly coupled to a quenched reference configuration. An extensive finite-size scaling analysis demonstrates the existence of a random-field…

Statistical Mechanics · Physics 2020-10-29 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

Critical phenomena at finite temperature underpin a broad range of physical systems, yet their study remains challenging due to computational bottlenecks near phase transitions. Quantum annealers have attracted significant interest as a…

Statistical Mechanics · Physics 2025-07-11 Gianluca Teza , Francesco Campaioli , Marco Avesani , Oren Raz

We study a Hamiltonian system describing a three-spin-1/2 cluster-like interaction competing with an Ising-like anti-ferromagnetic interaction. We compute free energy, spin correlation functions and entanglement both in the ground and in…

We study the infinite-temperature properties of an infinite sequence of random quantum spin chains using a real-space renormalization group approach, and demonstrate that they exhibit non-ergodic behavior at strong disorder. The analysis is…

Disordered Systems and Neural Networks · Physics 2015-05-28 Romain Vasseur , Andrew C. Potter , S. A. Parameswaran

We study scenarios of parallel cyclic multiverses which allow for a different evolution of the physical constants, while having the same geometry. These universes are classically disconnected, but quantum-mechanically entangled. Applying…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Salvador Robles-Perez , Adam Balcerzak , Mariusz P. Dabrowski , Manuel Kraemer

We address the steady-state entropy production rate (EPR) of active scalar $\phi^4$ theories, which lack time-reversal symmetry, close to a phase-separation critical point. We consider both nonconserved (Model A) and conserved (Model B)…

Statistical Mechanics · Physics 2020-07-01 Fernando Caballero , Michael E. Cates

Recently the ground state and some excited states of the half-filled case of the 1d Hubbard model were discussed for an open chain with L sites. Authors considered the case when the boundary site has a negative chemical potential -p and the…

Strongly Correlated Electrons · Physics 2007-09-04 O. Hudak

Density contrasts in the universe are governed by scalar cosmological perturbations which, when expressed in terms of gauge-invariant variables, contain a classical component from scalar metric perturbations and a quantum component from…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Jen-Tsung Hsiang , Bei-Lok Hu

Quantum gravity computations suggest the existence of an ultraviolet and an infrared fixed point where quantum scale invariance emerges as an exact symmetry. We discuss a particular variable gravity model for the crossover between these…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Javier Rubio , Christof Wetterich

The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Yu-Cheng Lin , Ferenc Igloi , Heiko Rieger

Quantum critical phenomena influences the finite temperature behavior of condensed matter systems through quantum critical fans whose extents are determined by the exponents of the zero temperature criticality. Here we emphasize the aspects…

Strongly Correlated Electrons · Physics 2023-10-27 Hui Yu , Sudip Chakravarty

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela

The quantum phase transition (QPT) of the one-dimensional (1D) quantum compass model in a transverse magnetic field is studied in this paper. An exact solution is obtained by using an extended Jordan and Wigner transformation to the…

Quantum Physics · Physics 2009-11-21 Ke-Wei Sun , Qing-Hu Chen

Above the upper critical dimension, the breakdown of hyperscaling is associated with dangerous irrelevant variables in the renormalization group formalism at least for systems with periodic boundary conditions. While these have been…

Statistical Mechanics · Physics 2014-02-10 Bertrand Berche , Ralph Kenna , Jean-Charles Walter

We study quantum coarse-grained entropy and demonstrate that the gap in entropy between local and global coarse-grainings is a natural generalization of entanglement entropy to mixed states and multipartite systems. This "quantum…

Quantum Physics · Physics 2020-12-02 Joseph Schindler , Dominik Šafránek , Anthony Aguirre

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin