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Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

Quantum Physics · Physics 2011-09-27 Glen Evenbly

We consider the quantum dynamics of $N$ interacting fermions in the large $N$ limit. The particles in the system interact with each other via repulsive interaction that is regularized Coulomb potential with a polynomial cutoff with respect…

Mathematical Physics · Physics 2021-08-31 Li Chen , Jinyeop Lee , Matthew Liew

We provide an exact microscopic statistical treatment of particle and field correlations in a system of quantum charges in equilibrium with a classical radiation field. Using the Feynman-Kac-Ito representation of the Gibbs weight, the…

Statistical Mechanics · Physics 2009-11-11 Sami El Boustani , Pascal R. Buenzli , Philippe A. Martin

A quantum theory of feedback of bosonic many-atom systems is formulated. The feedback-induced many-atom correlations are treated by use of a parameterized correlation function, for which closed equations of motion are derived. Therefrom the…

Quantum Physics · Physics 2009-11-07 S. Wallentowitz

The quantum mechanics formalism introduced new revolutionary concepts challenging our everyday perceptions. Arguably, quantum entanglement, which explains correlations that cannot be reproduced classically, is the most notable of them.…

Understanding the spreading of quantum correlations in out-of-equilibrium many-body systems is one of the major challenges in physics. For {\it isolated} systems, a hydrodynamic theory explains the origin and spreading of entanglement via…

Statistical Mechanics · Physics 2021-01-27 Vincenzo Alba , Federico Carollo

A Quantum Field Theory formulation of Bose-Einstein Correlations is given. It contains as a special case the classical current approach. It is shown that the particle-antiparticle correlations are a general feature of Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2009-10-28 Leonid V. Razumov , R. M. Weiner

We propose a general coarse-graining method to derive a continuity equation that describes any dissipative system of repulsive particles interacting through short-ranged potentials. In our approach, the effect of particle-particle…

Statistical Mechanics · Physics 2016-06-15 C. M. Vieira , H. A. Carmona , J. S. Andrade , A. A. Moreira

We present a new approach to derive the connectivity properties of pairwise interacting n-body systems in thermal equilibrium. We formulate an integral equation that relates the pair connectedness to the distribution of nearest neighbors.…

Statistical Mechanics · Physics 2020-07-01 Fabian Coupette , Andreas Härtel , Tanja Schilling

We derive functional renormalization group schemes for Fermi systems which are based on the two-particle irreducible approach to the quantum many-body problem. In a first step, the cutoff is introduced in the non-interacting propagator as…

Strongly Correlated Electrons · Physics 2015-03-25 Jan Frederik Rentrop , Severin Georg Jakobs , Volker Meden

Using eigen-functional bosonization method, we study quantum many-particle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

The relativistic quantum mechanics of two interacting particles is considered. We first present a covariant formulation of kinematics and of reduced phase space, giving a short outline of the classical results. We then quantize the systems…

Quantum Physics · Physics 2019-02-20 Riccardo Giachetti , Emanuele Sorace

Several important generalizations of Fermi-Dirac distribution are compared to numerical and experimental results for correlated electron systems. It is found that the quantum distributions based on incomplete information hypothesis can be…

Statistical Mechanics · Physics 2009-11-07 Qiuping A. Wang

Using the $\hbar$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including the density-dependent effective mass and…

Nuclear Theory · Physics 2016-01-29 J. C. Pei , Na Fei , Y. N. Zhang , P. Schuck

The main goal of the present article is to extend the Bogolyubov method for deriving kinetic equations to dissipative many-body systems. The basic conjecture underlying the Bogolyubov approach is the functional hypothesis, according to…

Statistical Mechanics · Physics 2013-07-15 I. Goldhirsch , A. S. Peletminskii , S. V. Peletminskii , A. I. Sokolovsky

We discuss a multistep variational approach for the study of many-body correlations. The approach is developed in a boson formalism (bosons representing particle-hole excitations) and based on an iterative sequence of diagonalizations in…

Nuclear Theory · Physics 2009-10-31 M. Sambataro

We present a new approach for the quantification of quantumness of correlations in fermionic systems. We study the Multipartite Relative Entropy of Quantumness in such systems, and show how the symmetries in the states can be used to obtain…

Quantum Physics · Physics 2017-03-01 Tiago Debarba , Reinaldo O. Vianna , Fernando Iemini

We describe an efficient theoretical criterion suitable for the evaluation of the tripartite entanglement of any mixed three-boson or -fermion state, based on the notion of the entanglement of particles for bipartite systems of identical…

Quantum Physics · Physics 2011-08-04 Fabrizio Buscemi , Paolo Bordone

In the present work the so-called Higher Tamm-Dancoff Apporximation method is presented for the generalized case of isovector and isoscalar residual interactions treated simultaneously. The role of different particle-hole excitations and of…

Nuclear Theory · Physics 2008-11-26 K. Sieja , T. L. Ha , P. Quentin , A. Baran

The realization of ultracold polar molecules in laboratories has pushed both physics and chemistry to new realms. In particular, these polar molecules offer scientists unprecedented opportunities to explore chemical reactions in the…

Quantum Gases · Physics 2020-05-19 Mingyuan He , Chenwei Lv , Hai-Qing Lin , Qi Zhou