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In a bipartite set-up, the vacuum state of a free Bosonic scalar field is entangled in real space and satisfies the area-law--- entanglement entropy scales linearly with area of the boundary between the two partitions. In this work, we show…

Statistical Mechanics · Physics 2017-11-21 S. Santhosh Kumar , S. Shankaranarayanan

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 study the formation of topological defects in nonequilibrium phase transitions of both classical and quantum field theory. We examine three model systems. 1). The phase transition of a quantum scalar field in a FRW universe is analyzed…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. J. Stephens

We perform a first-principles, non-perturbative investigation of quantum entanglement between partonic constituents in a strongly coupled 3+1-dimensional scalar Yukawa theory, using light-front Hamiltonian methods with controlled Fock-space…

High Energy Physics - Phenomenology · Physics 2026-05-19 Wenyu Zhang , Wenyang Qian , Yiyu Zhou , Yang Li , Qun Wang

We study the von Neumann entropy of a model for two-species hard-core bosons in one dimension. In this model, the same-species bosons satisfy hard-core conditions, while the different-species bosons are allowed to occupy the same site with…

Strongly Correlated Electrons · Physics 2021-03-17 Tae Yong Kim , Hang Gon Cho , Ji-Woo Lee

The study of non-equilibrium dynamics is one of the most important challenges of modern quantum many-body physics, in relationship with fundamental questions in quantum statistical mechanics, as well as with the fields of quantum simulation…

Quantum Gases · Physics 2023-06-14 Raphaël Menu , Tommaso Roscilde

This work establishes the algebraic structure of the Kohn-Sham equations to be solved in a density formulation of electron and phonon dynamics, including the superconducting order parameter. A Bogoliubov transform is required to diagonalize…

Superconductivity · Physics 2018-03-21 Chung-Yu Wang , T. Müller , Sangeeta Sharma , E. K. U. Gross , J. K. Dewhurst

We present a systematic numerical iteration approach to study the evolution properties of the spin-boson systems, which works well in whole coupling regime. This approach involves the evaluation of a set of coefficients for the formal…

Quantum Physics · Physics 2018-12-11 Xueying Liu , Xuezao Ren , Chen Wang , Gao Xianlong , Kelin Wang

A variational method for studying the ground state of strongly interacting quantum many-body bosonic systems is presented. Our approach constructs a class of extensive variational non-Gaussian wavefunctions which extend Gaussian states by…

Strongly Correlated Electrons · Physics 2023-02-01 Tian Qian , Jose J. Fernandez-Melgarejo , David Zueco , Javier Molina-Vilaplana

The quantization of a vector model presenting spontaneous breaking of Lorentz symmetry in flat Minkowski spacetime is discussed. The Stueckelberg trick of introducing an auxiliary field along with a local symmetry in the initial Lagrangian…

High Energy Physics - Theory · Physics 2015-06-23 Carlos Hernaski

The quantum ANNNI chain in a transverse field is investigated by means of the bosonization approach in the limit of large next-nearest neighbor interaction. In this regime, this model can be viewed as a weakly coupled two-leg zigzag ladder…

Condensed Matter · Physics 2009-11-07 Dave Allen , Patrick Azaria , Philippe Lecheminant

Perturbative quantum gravity starts from prescribing a background metric. That background metric is then used in order to carry out two separate steps: 1. One splits the non-perturbative metric into background and deviation from it…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Thomas Thiemann

These lectures are divided into two parts. In Part 1 I discuss bound state topics at the level of a basic course in field theory: The derivation of the Schr\"odinger and Dirac equations from the QED Lagrangian, by summing Feynman diagrams…

High Energy Physics - Phenomenology · Physics 2014-02-28 Paul Hoyer

We predict a generic manifestation of quantum interference in many-body bosonic systems resulting in a coherent enhancement of the average return probability in Fock space. This enhancement is both robust with respect to variations of…

This thesis focuses on renormalization of quantum field theories. Its first part considers three tensor models in three dimensions, a Fermionic quartic with tensors of rank-3 and two Bosonic sextic, of ranks 3 and 5. We rely upon the…

High Energy Physics - Theory · Physics 2020-10-16 Nicolas Delporte

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

We review methods that allow one to detect and characterise quantum correlations in many-body systems, with a special focus on approaches which are scalable. Namely, those applicable to systems with many degrees of freedom, without…

Quantum Physics · Physics 2023-09-28 Irénée Frérot , Matteo Fadel , Maciej Lewenstein

We consider the semi-relativistic Pauli-Fierz model for a single free electron interacting with the quantized radiation field. Employing a variant of Pizzo's iterative analytic perturbation theory we construct a sequence of ground state…

Mathematical Physics · Physics 2015-03-24 Martin Könenberg , Oliver Matte

An important class of model Hamiltonians for investigation of topological phases of matter consists of mobile, interacting particles on a lattice subject to a semi-classical gauge field, as exemplified by the bosonic Harper-Hofstadter…

Strongly Correlated Electrons · Physics 2025-02-14 Erik Lennart Weerda , Matteo Rizzi

We present a comprehensive quantum many body theory for kq deformed particles, offering a novel framework that relates particle statistics directly to effective interaction strength. Deformed by the parameters k and q, these particles…

Statistical Mechanics · Physics 2024-12-10 Habib Esmaili , Hosein Mohammadzadeh , Mehdi Biderang , Morteza NattaghNajafi