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We investigate particle condensation in a driven pair exclusion process on one- and two- dimensional lattices under the periodic boundary condition. The model describes a biased hopping of particles subject to a pair exclusion constraint…

Statistical Mechanics · Physics 2012-03-06 Sang-Woo Kim , Jae Dong Noh

We theoretically study the ground-state properties and the condensations of exciton-like Cooper pairs and biexciton-like Cooper quartets in an electron-hole system. Applying the variational approach associated based on the quartet…

Strongly Correlated Electrons · Physics 2022-05-27 Yixin Guo , Hiroyuki Tajima , Haozhao Liang

We demonstrate that a large class of first-order quantum phase transitions, namely, transitions in which the ground state energy per particle is continuous but its first order derivative has a jump discontinuity, can be described as a…

Quantum Physics · Physics 2021-01-14 Massimo Ostilli , Carlo Presilla

Fermion-exciton condensation in which both fermion-pair (i.e., superconductivity) and exciton condensations occur simultaneously in a single coherent quantum state has recently been conjectured to exist. Here, we capture the fermion-exciton…

Quantum Physics · Physics 2023-01-03 LeeAnn M. Sager , David A. Mazziotti

We present exact explicit analytical results describing the exact ground state of four electrons in a two dimensional square Hubbard cluster containing 16 sites taken with periodic boundary conditions. The presented procedure, which works…

Strongly Correlated Electrons · Physics 2007-05-23 Endre Kovacs , Zsolt Gulacsi

We study the description of single-species and isovector pairing correlations in the framework of the projected-BCS (PBCS) and the Quartet Condensation Model (QCM) from a particle-hole perspective and we introduce the representation of the…

Nuclear Theory · Physics 2019-06-11 V. V. Baran , D. S. Delion

Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

While it is known that Hamiltonian systems may undergo a phenomenon of condensation akin to Bose-Einstein condensation, not all the manifestations of this phenomenon have been uncovered yet. In this work we present a novel form of…

Statistical Mechanics · Physics 2024-09-06 Anxo Biasi

We introduce a BCS-like theory for the quartet correlations induced by the isovector pairing interaction. It is based on a coherent state of BCS type and, unlike usual mean field approaches, it displays a vanishing pair anomalous density…

Nuclear Theory · Physics 2020-06-02 V. V. Baran , D. S. Delion

We analyze the spin structure of the ground state of four-component exciton condensates in coupled quantum wells as a function of spin-dependent interactions and applied magnetic field. The four components correspond to the degenerate…

Mesoscale and Nanoscale Physics · Physics 2011-07-25 Yuri G. Rubo , A. V. Kavokin

Recent experiments have revealed the formation of stable droplets in dipolar Bose-Einstein condensates. This surprising result has been explained by the stabilization given by quantum fluctuations. We study in detail the properties of a BEC…

Quantum Gases · Physics 2016-10-19 F. Wächtler , L. Santos

The formal equivalence between the quartetting picture and the symmetry restored BCS picture is established for the ground state correlations induced by the general isovector-isoscalar pairing interaction. Multiple ground state structures…

Nuclear Theory · Physics 2021-02-03 A. G. Serban , D. R. Nichita , D. Negrea , V. V. Baran

In a $p$-wave Kitaev model, the nearest neighbor pairing term results in the formation of the Bardeen-Cooper-Schrieffer (BCS) pair in the ground state. In this work, we study the fermionic condensation of real-space pairs in a $p$-wave…

Strongly Correlated Electrons · Physics 2024-01-18 E. S. Ma , Z. Song

Working in a subspace with dimensionality much smaller than the dimension of the full Hilbert space, we deduce exact 4-particle ground states in 2D samples containing hexagonal repeat units and described by Hubbard type of models. The…

Strongly Correlated Electrons · Physics 2014-06-26 Reka Trencsenyi , Konstantin Glukhov , Zsolt Gulacsi

The possibility of Spontaneous Symmetry Breaking in momentum space in a generic Lifshitz scalar model - a non-relativistic scalar field theory with higher spatial derivative terms - has been studied. We show that the minimum energy state,…

High Energy Physics - Theory · Physics 2014-04-04 Subir Ghosh

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

The band structure of N=Z nuclei is constructed from intrinsic states defined in terms of quartets. The simplest of these states is a condensate of collective quartets with isospin T=0. The other intrinsic states are built by promoting one…

Nuclear Theory · Physics 2022-08-01 M. Sambataro , N. Sandulescu

We consider the ground state properties of a trapped dipolar condensate under the influence of quantum fluctuations. We show that this system can undergo a phase transition from a low density condensate state to a high density droplet…

Quantum Gases · Physics 2016-09-19 R. N. Bisset , R. M. Wilson , D. Baillie , P. B. Blakie

The condensation of Cooper pairs, originating from the Fermi-surface instability due to a weakly attractive interaction between two fermions, opened a new frontier for exploring many-body physics in interdisciplinary contexts. In this work,…

Quantum Gases · Physics 2021-11-25 Sora Akagami , Hiroyuki Tajima , Kei Iida

We construct a class of exact ground states for correlated electrons on pentagon chains in the high density region and discuss their physical properties. In this procedure the Hamiltonian is first cast in a positive semidefinite form using…

Strongly Correlated Electrons · Physics 2013-05-27 Zsolt Gulacsi