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For a periodically driven quantum system an effective time-independent Hamiltonian is derived with an eigen-energy spectrum, which in the regime of large driving frequencies approximates the quasi-energies of the corresponding Floquet…

Quantum Gases · Physics 2015-05-19 Andreas Hemmerich

We investigate experimentally a Bose Einstein condensate placed in a 1D optical lattice whose phase or amplitude is modulated in a frequency range resonant with the first bands of the band structure. We study the combined effect of the…

Quantum Gases · Physics 2019-09-04 C. Cabrera-Gutiérrez , E. Michon , M. Arnal , V. Brunaud , T. Kawalec , J. Billy , D. Guéry-Odelin

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting…

Other Condensed Matter · Physics 2009-11-11 L. -M. Duan

We investigate the effect of a magnetic field on the band structure of bilayer graphene with a magic twist angle of 1.08{\deg}. The coupling of a tight-binding model and the Peierls phase allows the calculation of the energy bands of…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Gaëlle Bigeard , Alessandro Cresti

In recent years, there has been a growing interest in flatband systems which exhibit macroscopic degeneracies. These systems offer a valuable mathematical framework for the extreme sensitivity to perturbations and interactions. This…

Disordered Systems and Neural Networks · Physics 2024-01-19 Sanghoon Lee

We study the effect of spin-orbit interaction and in-plane effective magnetic field on the conductance of a quasi-one-dimensional ballistic electron system. The effective magnetic field includes the externally applied field, as well as the…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Yuriy V. Pershin , James A. Nesteroff , Vladimir Privman

To test effective Hamiltonians for strongly interacting fermions in an optical lattice, we numerically find the energy spectrum for two fermions interacting across a Feshbach resonance in a double well potential. From the spectrum, we…

Quantum Gases · Physics 2010-04-22 J. P. Kestner , L. -M. Duan

Artificial electronic lattices, created atom by atom in a scanning tunneling microscope, have emerged as a highly tunable platform to realize and characterize the lowest-energy bands of novel lattice geometries. Here, we show that…

We investigate the Fermi polaron problem in a spin-1/2 Fermi gas in an optical lattice for the limit of both strong repulsive contact interactions and one dimension. In this limit, a polaronic-like behaviour is not expected, and the physics…

Quantum Gases · Physics 2017-07-11 C. W. Duncan , F. F. Bellotti , P. Öhberg , N. T. Zinner , M. Valiente

We study the ground state properties of spin-1 bosons in a two-dimensional optical lattice, by applying a variational Monte Carlo method to the S=1 Bose-Hubbard model on a square lattice at unit filling. A doublon-holon binding factor…

Quantum Gases · Physics 2012-06-08 Yuta Toga , Hiroki Tsuchiura , Makoto Yamashita , Kensuke Inaba , Hisatoshi Yokoyama

The spectral and transport properties of a non-Hermitian tight-binding lattice with unidirectional hopping are theoretically investigated in three different geometrical settings. It is shown that, while for the infinitely-extended (open)…

Quantum Physics · Physics 2014-05-21 Stefano Longhi

We study ultracold atoms in an optical lattice with two local minima per unit cell and show that the low energy states of a multi-band Bose-Hubbard (BH) Hamiltonian with only pair-wise interactions is equivalent to an effective single-band…

Quantum Gases · Physics 2015-07-20 Saurabh Paul , Eite Tiesinga

We propose a method for the emulation of artificial spin orbit coupling in a system of ultracold, neutral atoms trapped in a tight-binding lattice. This scheme does not involve near-resonant laser fields, avoiding the heating processes…

Quantum Gases · Physics 2014-09-24 Julian Struck , Juliette Simonet , Klaus Sengstock

The band structures describing non-interacting particles in one-dimensional superlattices of arbitrary periodicity are obtained by an analytical diagonalization of the Hamiltonian without adopting the popular tight-binding approximation.…

Strongly Correlated Electrons · Physics 2013-06-18 Olaf Krüger , Alejandro Saenz

We investigate a Bose-Einstein condensate strongly coupled to an optical cavity via a repulsive optical lattice. We detect a stable self-ordered phase in this regime, and show that the atoms order through an antisymmetric coupling to the…

Quantum Gases · Physics 2019-12-23 P. Zupancic , D. Dreon , X. Li , A. Baumgärtner , A. Morales , W. Zheng , N. R. Cooper , T. Esslinger , T. Donner

We study a quasi-one-dimensional non-reciprocal Hermitian hourglass photonic lattice that can accomplish multiple functions. Under the effect of non-reciprocal coupling, this lattice can produce an energy isolation effect, two kinds of flat…

Optics · Physics 2023-10-12 Junhao Yang , Yuandan Wang , Yu Lin , Wenjing Zhang , Guoguo Xin , Xinyuan Qi

In itinerant systems, electron-electron interactions may lead to the formation of local magnetic moments and their effective exchange coupling, which in turn gives rise to long-range magnetic order. Therefore, when moment formation is…

Strongly Correlated Electrons · Physics 2020-04-13 L. Oliveira-Lima , N. C. Costa , J. Pimentel de Lima , R. T. Scalettar , R. R. dos Santos

We present analytical and numerical study of photonic lattice with short- and long-range harmonic modulations of the refractive index. Such structures can be prepared experimentally with holographic photolithography. In the spectral region…

Optics · Physics 2009-11-13 Alexey G. Yamilov , Mark R. Herrera , Massimo F. Bertino

The size effects of an exciton in a nano-ring are investigated theoretically by using an effective-mass Hamiltonian which can be separated in terms of the center-of-mass and relative coordinates. The binding energy and oscillator strength…

Materials Science · Physics 2009-10-31 Hui Hu , Dai-Jun Li , Jia-Lin Zhu , Jia-Jiong Xiong

We investigate a variant of the Aubry-Andr\'e-Harper (AAH) model corresponding to a bosonic optical lattice of ultra cold atoms under an effective oscillatory magnetic field. In the limit of high frequency oscillation, the system maybe…

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