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Optical lattices with a complex-valued tunnelling term have become a standard way of studying gauge-field physics with cold atoms. If the complex phase of the tunnelling is made density-dependent, such system features even a…

Quantum Gases · Physics 2016-03-09 David Raventós , Tobias Graß , Bruno Juliá-Díaz , Luis Santos , Maciej Lewenstein

Topological phases of matter are usually realized in deconfined phases of gauge theories. In this context, confined phases with strongly fluctuating gauge fields seem to be irrelevant to the physics of topological phases. For example, the…

Strongly Correlated Electrons · Physics 2016-09-06 Peng Ye , Taylor L. Hughes , Joseph Maciejko , Eduardo Fradkin

Ultra-cold atomic systems provide a versatile platform for exploring quantum phenomena, offering tunable interactions and diverse trapping geometries. In this study, we investigate a one-dimensional system of trapped fermionic atoms using…

Quantum Gases · Physics 2025-09-16 Francisco Figueiredo , Itzhak Roditi

We propose a simple theoretical construction of certain short-range entangled phases of interacting fermions, by putting the bound states of three fermions (which we refer to as clustons) into topological bands. We give examples in two and…

Strongly Correlated Electrons · Physics 2015-07-14 Chong Wang

The notion of higher-order topological phases can have interesting generalizations to systems with subsystem symmetries that exhibit fractonic dynamics for charged excitations. In this work, we systematically study the higher-order…

Strongly Correlated Electrons · Physics 2023-08-02 Jian-Hao Zhang , Meng Cheng , Zhen Bi

We construct a three dimensional toy systems with two types of fermions forming a composite boson. They are hold in a harmonic potential. The basis functions are constructed from an internal and an external Gauss function. All integrals…

Quantum Physics · Physics 2024-04-24 Detlef Schmicker

The topological properties of hardcore bosons on ribbons of honeycomb lattice are studied using quantum Monte Carlo simulations. We map out a rich phase diagram with the superfluid and insulator phases at various fillings. Particularly, it…

Strongly Correlated Electrons · Physics 2018-10-24 Yiping Wang , Xingchuan Zhu , Kefei Zou , Shengyuan A. Yang , Huaiming Guo

The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the…

Quantum Gases · Physics 2018-03-21 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

We study a one-dimensional interacting topological model by means of exact diagonalization method. The topological properties are firstly examined with the existence of the edge states at half-filling. We find that the topological phases…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Huaiming Guo , Shun-Qing Shen

We numerically investigate the quantum phases and phase transition in a system made of two species of fermionic atoms that interact with each other via $s$-wave Feshbach resonance, and are subject to rotation or a synthetic gauge field that…

Strongly Correlated Electrons · Physics 2018-07-04 Shiuan-Fan Liou , Zi-Xiang Hu , Kun Yang

We numerically study the dynamical properties of a mixture consisting of a dipolar condensate and a degenerate Fermi gas in a quasi-one-dimensional geometry. In particular, we focus on the system's response to a temporal variation in the…

Quantum Gases · Physics 2025-11-26 Maciej Lewkowicz , Tomasz Karpiuk , Mariusz Gajda , Mirosław Brewczyk

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

We extend the composite fermion construction to the torus geometry. We verify the validity of our construction by computing the overlap of the composite fermion state to the exact diagonalization ground state of both Coulomb interaction and…

Strongly Correlated Electrons · Physics 2013-07-01 M. Hermanns

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

Particles made of two fermions can in many cases be treated as elementary bosons, but the conditions for this treatment to be valid are nontrivial. The so-called "coboson formalism" is a powerful tool to tackle compositeness effects…

Quantum Gases · Physics 2022-01-06 E. Cuestas , C. Cormick

We study the ground state of few bosons with repulsive dipole-dipole interaction in a quasi-one-dimensional harmonic trap by means of the exact diagonalization method. Up to three interaction regimes are found depending on the strength of…

Quantum Gases · Physics 2013-03-19 Frank Deuretzbacher , Jonas C. Cremon , Stephanie M. Reimann

The structure of binary mixtures of bosonic and fermionic atoms in an external trapping potential at zero temperature is studied on the basis of a modified Gross-Pitaevskii equation for the bosonic component which self-consistently includes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Roth

The method of synthetic gauge potentials opens up a new avenue for our understanding and discovering novel quantum states of matter. We investigate the topological quantum phase transition of Fermi gases trapped in a honeycomb lattice in…

Quantum Gases · Physics 2015-03-19 Fadi Sun , Xiao-Lu Yu , Jinwu Ye , Heng Fan , Wu-Ming Liu

The concept of topological phases is a powerful framework to characterize ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. While a few topological phases appear in condensed matter systems, a…

We study an effective model of two interacting species of bosons in two dimensions, which is amenable to sign problem free Monte Carlo simulations. In addition to conventional ground states, we access a paired superfluid which is also a…

Strongly Correlated Electrons · Physics 2016-04-06 Snir Gazit , Ashvin Vishwanath
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