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Related papers: Integrable model of a $p$-wave bosonic superfluid

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We study a model of interacting bosons that occupy the first excited p-band states of a two-dimensional optical lattice. In contrast to the much studied single band Bose-Hubbard Hamiltonian, this more complex model allows for non-trivial…

Quantum Gases · Physics 2014-11-21 F. Hébert , Zi Cai , V. G. Rousseau , Congjun Wu , R. T. Scalettar , G. G. Batrouni

We explore bright soliton solutions of ultracold Bose-Fermi gases, showing that the presence of p-wave interactions can remove the usual collapse instability and support stable soliton solutions that are global energy minima. A variational…

Quantum Gases · Physics 2012-01-04 N. G. Parker , D. A. Smith

For pseudospin-half bosons with inter-spin attraction and intra-spin repulsion, normal phase and Bose condensed phase can coexist at finite temperature. The homogeneous system is unstable against the spinodal decomposition within a medium…

Quantum Gases · Physics 2020-08-04 Li He , Peipei Gao , Zeng-Qiang Yu

We present a comprehensive analysis of quantum fluctuation effects in the superfluid ground state of an attractively interacting Fermi system, employing the attractive Hubbard model as a prototype. The superfluid order parameter, and…

Strongly Correlated Electrons · Physics 2009-04-03 P. Strack , R. Gersch , W. Metzner

It is shown that supersymmetric integrable models in two dimensions, both relativistic (i.e. super-Toda type theories) and non-relativistic (reductions of super-KP hierarchies) can be associated to general Poisson-brackets structures given…

High Energy Physics - Theory · Physics 2007-05-23 Francesco Toppan

Assisted by general symmetry arguments and a many-body invariant, we introduce a phase of matter that constitutes a topological SO(5) superfluid. Key to this finding is the realization of an exactly solvable model that displays some…

Superconductivity · Physics 2021-09-22 Will J. Holdhusen , Sergio Lerma-Hernández , Jorge Dukelsky , Gerardo Ortiz

We study the elliptic spin-1/2 Kondo model (spin-1/2 fermions in one dimension with fully anisotropic contact interactions with a magnetic impurity) in the light of mappings to bosonic systems using the fermion-boson correspondence and…

Strongly Correlated Electrons · Physics 2015-05-27 Sol H. Jacobsen , P. D. Jarvis

We analyze the finite-temperature phase diagram of the boson-fermion-Hubbard model with Feshbach converting interaction, using the coherent-state path-integral method. We show that depending on the position of the bosonic band, this type of…

Quantum Gases · Physics 2018-12-13 A. S. Sajna , R. Micnas

We show that the one-dimensional Yang-Gaudin model with two-body loss remains exactly solvable irrespective of whether constituent particles are bosons or fermions. By relating the Liouvillian spectrum to the right eigenvalues of a…

Quantum Gases · Physics 2026-04-20 Ryutaro Katsuta , Shun Uchino

We study a degenerate two-species gas of bosonic atoms interacting through a p-wave Feshbach resonance as for example realized in a Rb85-Rb87 mixture. We show that in addition to a conventional atomic and a p-wave molecular spinor-1…

Quantum Gases · Physics 2011-10-11 Sungsoo Choi , Leo Radzihovsky

The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian. As the strength of the interaction…

Superconductivity · Physics 2009-11-11 Gerardo Ortiz , Jorge Dukelsky

To analyze the ground-state phase diagram of Bose-Bose mixtures loaded into $d$-dimensional hypercubic optical lattices, we perform a strong-coupling power-series expansion in the kinetic energy term (plus a scaling analysis) for the…

Quantum Gases · Physics 2015-05-14 M. Iskin

Superfluid-insulator transitions in a one-dimensional mixture of two-color fermions and scalar bosons are studied within the framework of the Bose-Fermi-Hubbard model. Zero-temperature phase diagrams are constructed for repulsive…

Quantum Gases · Physics 2020-10-07 R. Avella , J. J. Mendoza-Arenas , R. Franco , J. Silva-Valencia

We study the ground state phases of Bose-Fermi mixtures in one-dimensional optical lattices with quantum Monte Carlo simulations using the Canonical Worm algorithm. Depending on the filling of bosons and fermions, and the on-site intra- and…

Statistical Mechanics · Physics 2008-09-27 A. Zujev , A. Baldwin , R. T. Scalettar , V. G. Rousseau , P. J. H. Denteneer , M. Rigol

We provide an explicit lattice model of bosons with two separately conserved boson species [$U(1)\times U(1)$ global symmetry] realizing a direct transition between an integer quantum Hall effect of bosons and a trivial phase, where any…

Strongly Correlated Electrons · Physics 2017-10-03 Scott D. Geraedts , Olexei I. Motrunich

We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for…

This paper reports the unified microscopic theory of a system of interacting bosons such as liquid $^4He$.Each particle in the system represents a $(q;-q)$ pair moving with a centre of mass momentum K.Particles form bound pairs below…

Statistical Mechanics · Physics 2007-05-23 Y. S. Jain

Pairing between fermions that attract each other, reveal itself to the macroscopic world in the form of superfluidity. Since the discovery of fermionic superfluidity, intense search has been going on to find various unconventional forms of…

Quantum Gases · Physics 2009-06-12 O. Dutta , M. Lewenstein

Depending on the Hamiltonian parameters, two-component bosons in an optical lattice can form at least three different superfluid phases in which both components participate in the superflow: a (strongly interacting) mixture of two miscible…

Soft Condensed Matter · Physics 2009-11-10 A. Kuklov , N. Prokof'ev , B. Svistunov

We reveal a quantum coherent state characterized by composite bosonic trions, wherein paired fermions further bind with bosons, in one-dimensional Bose-Fermi mixtures.This phase emerges in two separate models, both featuring onsite…

Quantum Gases · Physics 2025-07-04 Qi Song , Jie Lou , Yan Chen
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