scholarly journals Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Ling Lin ◽  
Yongguan Ke ◽  
Chaohong Lee
Keyword(s):  
Optical Lattice ◽  
Bound States ◽  
One Dimensional

scholarly journals TRIONIC AND QUARTETTING PHASES IN ONE-DIMENSIONAL MULTICOMPONENT ULTRACOLD FERMIONS

2008 ◽  
Vol 17 (10) ◽  
pp. 2110-2117 ◽  
Author(s):  
P. LECHEMINANT ◽  
P. AZARIA ◽  
E. BOULAT ◽  
S. CAPPONI ◽  
G. ROUX ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Nuclear Physics ◽  
Bound States ◽  
Cold Atoms ◽  
Low Energy ◽  
Low Density ◽  
Large Domain ◽  
One Dimensional ◽  
Fermionic Systems ◽  
Numerical Approaches

We investigate the possible formation of a molecular condensate, which might be, for instance, the analogue of the alpha condensate of nuclear physics, in the context of multicomponent cold atoms fermionic systems. A simple paradigmatic model of N-component fermions with contact interactions loaded into a one-dimensional optical lattice is studied by means of low-energy and numerical approaches. For attractive interaction, a quasi-long-range molecular superfluid phase, formed from bound-states made of N fermions, emerges at low density. We show that trionic and quartetting phases, respectively for N = 3,4, extend in a large domain of the phase diagram and are robust against small symmetry-breaking perturbations.

scholarly journals Quantum droplets of bosonic mixtures in a one-dimensional optical lattice

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Ivan Morera ◽  
Grigori E. Astrakharchik ◽  
Artur Polls ◽  
Bruno Juliá-Díaz
Keyword(s):  
Optical Lattice ◽  
One Dimensional

scholarly journals Bound states of a Klein–Gordon particle in the presence of a smooth potential well

2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Potential Well ◽  
One Dimensional ◽  
Smooth Potential ◽  
Klein Gordon ◽  
The One ◽  
Potential Parameters ◽  
Klein Gordon Equation

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.

scholarly journals Exploring multiband excitations of interacting Bose gases in a one-dimensional optical lattice by coherent scattering

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Xinxing Liu ◽  
Xiaoji Zhou ◽  
Wei Zhang ◽  
Thibault Vogt ◽  
Bo Lu ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Coherent Scattering ◽  
Bose Gases ◽  
One Dimensional

THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO
Keyword(s):  
Bound States ◽  
Neutral Particle ◽  
Energy Levels ◽  
Quantum Ring ◽  
Persistent Currents ◽  
One Dimensional ◽  
Neutral Particles ◽  
Quantum Flux ◽  
Bohm Effect ◽  
Aharonov Bohm

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

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