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The system of a cold atomic gas in an optical lattice is governed by two factors: nonlinearity originating from the interparticle interaction, and the periodicity of the system set by the lattice. The high level of controllability…

Quantum Gases · Physics 2016-05-10 Gentaro Watanabe , B. Prasanna Venkatesh , Raka Dasgupta

We calculate the ground state current densities for 2+1 dimensional free fermion theories with local, translationally invariant boundary states. Deformations of the bulk wave functions close to the edge and boundary states both may cause…

Mathematical Physics · Physics 2017-05-24 Marianne Leitner , Werner Nahm

We investigate the many-body dissipative dynamics of fermionic atoms in an optical lattice in the presence of incoherent light scattering. Deriving and solving a master equation to describe this process microscopically for many particles,…

Quantum Gases · Physics 2015-01-16 Saubhik Sarkar , Stephan Langer , Johannes Schachenmayer , Andrew J. Daley

Physical systems in real life are inextricably linked to their surroundings and never completely separated from them. Truly closed systems do not exist. The phenomenon of decoherence, which is brought about by the interaction with the…

High Energy Physics - Phenomenology · Physics 2024-07-11 Gabriela Barenboim , Alberto M. Gago

We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Andrey R. Kolovsky

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…

We study the superfluid behavior of ultracold atomic Fermi gases with a short range attractive interaction in a two-dimensional optical lattice (2DOL) using a pairing fluctuation theory, within the context of BCS-BEC crossover. We find that…

Quantum Gases · Physics 2022-03-01 Lin Sun , Jibiao Wang , Xiang Chu , Qijin Chen

We calculate the field dependence of the critical current for the dense Josephson vortex lattice which is created by large magnetic field $B$ applied along the layers of atomically layered superconductors. In clean samples a finite critical…

Superconductivity · Physics 2009-11-07 A. E. Koshelev

We consider two coupled time reversal invariant helical edge modes of the same helicity, such as would occur on two stacked quantum spin Hall insulators. In the presence of interaction, the low energy physics is described by two collective…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Raul A. Santos , D. B. Gutman , Sam T. Carr

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

Condensed Matter · Physics 2007-05-23 Yasuhiro Hatsugai

We show that the ground state of a weakly charged two-dimensional electron-hole fluid in a strong magnetic field is a broken translation symmetry state with interpenetrating lattices of localized vortices and antivortices in the…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Bo Zou , Allan H. MacDonald

Quantum mechanics requires that identical particles are treated as indistinguishable. This requirement leads to correlations in the fluctuating properties of a system. Theoretical predictions are made for an experiment on a multi-lead…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. A. van Langen , M. Buttiker

The resistivity of disordered metallic layer sandwiched by two ferromagnetic layers at low-temperature is investigated theoretically. It is shown that the magnetic field acting at the interface does not affect the classical Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Gen Tatara , Hidetoshi Fukuyama

We prove a theorem that shows the degeneracy of many-body states depends on total particle number and flux filling ratio, for particles in a periodic lattice and under a uniform magnetic field. Non-interacting fermions and weakly…

Quantum Gases · Physics 2010-10-27 Jian Zhang , Chao-Ming Jian , Fei Ye , Hui Zhai

We analyse stationary current of the bosonic particles in the flux rhombic lattice connecting two particle reservoirs. For vanishing inter-particle interactions the current is shown to monotonically decrease as the flux is increased and…

Quantum Physics · Physics 2020-06-09 P. S. Muraev , A. R. Kolovsky

We argue that an ionic lattice surrounded by a Fermi liquid changes phase several times under pressure, oscillating between the symmetric phase and a low-symmetry dimerized structure, as a consequence of Friedel oscillations in the pair…

Materials Science · Physics 2007-05-23 G. G. N. Angilella , F. Siringo , R. Pucci

We study an ultracold atomic gas with attractive interactions in a one-dimensional optical lattice. We find that its excitation spectrum displays a quantum soliton band, corresponding to $N$-particle bound states, and a continuum band of…

Quantum Gases · Physics 2019-02-13 Piero Naldesi , Juan Polo Gomez , Anna Minguzzi , Boris Malomed , Maxim Olshanii , Luigi Amico

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

Interacting two-component Fermi gases loaded in a one-dimensional (1D) lattice and subject to harmonic trapping exhibit intriguing compound phases in which fluid regions coexist with local Mott-insulator and/or band-insulator regions.…

Strongly Correlated Electrons · Physics 2007-05-23 Gao Xianlong , M. Polini , B. Tanatar , M. P. Tosi

The ground state of an electron gas is characterized by the interparticle spacing to the effective Bohr radius ratio r_s=a/a_B*. For polarized electrons on a two dimensional square lattice with Coulomb repulsion, we study the threshold…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Houman Falakshahi , Zoltán Ádám Németh , Jean-Louis Pichard