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We consider a system of composite bosons given by strongly bound fermion pairs tunneling through sites that form a low-dimensional network. It has been shown that the ground state of this system can have condensate-like properties in the…

Quantum Physics · Physics 2023-05-01 Cecilia Cormick , Leonardo Ermann

We study the ground state properties of a trapped Bose condensate with a neutral impurity. By varying the strength of the attractive atom-impurity interactions the degree of localization of the impurity at the trap center can be controlled.…

Other Condensed Matter · Physics 2009-11-11 Ryan M. Kalas , D. Blume

Although neither hardcore bosons nor fermions can occupy the same single-site state, they still obey different statistics, resulting in distinct many-particle quantum states, such as condensate states versus Fermi-liquid states. However,…

Strongly Correlated Electrons · Physics 2026-04-24 F. X. Liu , E. S. Ma , Z. Song

We study the effect of impurities in a supersolid phase in comparison to the behavior in the solid and superfluid phases. A supersolid phase has been established for interacting hardcore bosons on a triangular lattice which may be…

Strongly Correlated Electrons · Physics 2015-03-13 Xue-Feng Zhang , Yu-Chuan Wen , Sebastian Eggert

Fermions and hardcore bosons share the same restriction: no more than one particle can occupy a single site in a lattice system. Specifically, in one dimension, two systems can share the same matrix representation. In this work, we…

Strongly Correlated Electrons · Physics 2025-01-20 C. H. Zhang , Z. Song

We study hard-core bosons on a class of frustrated lattices with the lowest Bloch band having a degenerate minimum along a closed contour, the moat, in the reciprocal space. We show that at small density the ground state of the system is…

Quantum Gases · Physics 2014-05-20 Tigran A. Sedrakyan , Leonid I. Glazman , Alex Kamenev

We study a system of penetrable bosons embedded in a spherical surface. Under the assumption of weak interaction between the particles, the ground state of the system is, to a good approximation, a pure condensate. We employ thermodynamic…

Quantum Gases · Physics 2019-06-24 Santi Prestipino , Paolo V. Giaquinta

It is well known that the supersolid form of matter can arise in a single species of cold bosonic atoms in an optical lattice due to long range interactions. We present a scenario where a supersolid is induced in one of the components of a…

Quantum Gases · Physics 2009-06-16 Tapan Mishra , Ramesh V. Pai , B. P. Das

We report a comprehensive study of the ground-state properties of one and two bosonic impurities immersed in small one-dimensional optical lattices loaded with a few interacting bosons. We model the system with a two-component Bose-Hubbard…

Quantum Gases · Physics 2023-02-06 Vasil R. Yordanov , Felipe Isaule

It is possible to condense a macroscopic number of bosons into a single mode. Adding interactions the question arises whether the condensate is stable. For repulsive interaction the answer is positive with regard to the ground-state, but…

Quantum Gases · Physics 2015-10-09 Doron Cohen

We study exactly soluble system of trapped bosonic particles interacting by a model harmonic forces. The model allows for detailed examination of the order parameter (condensate wave function) as well as concept of the off-diagonal and…

Soft Condensed Matter · Physics 2009-10-31 Mariusz Gajda , Magdalena A. Zaluska-Kotur , Jan Mostowski

We investigate the properties of the ground state of a system of interacting bosons on regular lattices with coordination number $k\geq 2$. The interaction is a pure, infinite, on-site repulsion. Our concern is to give an improved upper…

Statistical Mechanics · Physics 2007-05-23 Andras Suto

We study various properties of bosons in two dimensions interacting only via onsite hardcore repulsion. In particular, we use the lattice spin-wave approximation to calculate the ground state energy, the density, the condensate density and…

Superconductivity · Physics 2007-05-23 K. Bernardet , G. G. Batrouni , J. -L. Meunier , G. Schmid , M. Troyer , A. Dorneich

We study the ground-state properties of hard-core bosons trapped by arbitrary confining potentials on one-dimensional optical lattices. A recently developed exact approach based on the Jordan-Wigner transformation is used. We analyze the…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

By removing one empty site between two occupied sites, we map the ground states of chains of hardcore bosons and spinless fermions with infinite nearest-neighbor repulsion to ground states of chains of hardcore bosons and spinless fermions…

Strongly Correlated Electrons · Physics 2015-05-13 Siew-Ann Cheong , Christopher L. Henley

The one-particle density matrices for hard core bosons in a one-dimensional harmonic trap are computed numerically for systems with up to 160 bosons. Diagonalization of the density matrix shows that the many-body ground state is not…

Soft Condensed Matter · Physics 2007-05-23 T. Papenbrock

Within the framework of the algebra of canonical commutation relations in Euclidean space, a long range order between particles in bounded regions is established in states with a sufficiently large particle number. It occurs whenever…

Mathematical Physics · Physics 2022-09-14 Detlev Buchholz

The ground state and its structure for a rotating, harmonically trapped N-Boson system with a weak repulsive contact interaction are studied as the angular momentum L increases up to 3N. We show that the ground state is generally a…

Statistical Mechanics · Physics 2009-10-31 Xia-Ji Liu , Hui Hu , Lee Chang , Weiping Zhang , Shi-Qun Li , Yu-Zhu Wang

The thermodynamic properties of non interacting bosons on a complex network can be strongly affected by topological inhomogeneities. The latter give rise to anomalies in the density of states that can induce Bose-Einstein condensation in…

Statistical Mechanics · Physics 2009-11-07 R. Burioni , D. Cassi , M. Rasetti , P. Sodano , A. Vezzani

The effect of impurities which induce local interlayer tunneling in bilayer exciton condensates is discussed. We show that a localized single fermion bound state emerges inside the gap for any strength of impurity scattering and calculate…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. Dubi , A. V. Balatsky
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