Deriving uniform semiclassical approximations for one-dimensional fermionic systems

2018 ◽  
Vol 148 (19) ◽  
pp. 194103 ◽  
Author(s):  
Raphael F. Ribeiro ◽  
Kieron Burke
Keyword(s):  
One Dimensional ◽  
Fermionic Systems ◽  
Semiclassical Approximations

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.

Fractional excitations in one-dimensional fermionic systems

2019 ◽  
Vol 94 (11) ◽  
pp. 115808
Author(s):  
Fei Ye ◽  
P A Marchetti
Keyword(s):  
One Dimensional ◽  
Fermionic Systems

scholarly journals Topological invariants and interacting one-dimensional fermionic systems

2012 ◽  
Vol 86 (20) ◽  
Author(s):  
Salvatore R. Manmana ◽  
Andrew M. Essin ◽  
Reinhard M. Noack ◽  
Victor Gurarie
Keyword(s):  
Topological Invariants ◽  
One Dimensional ◽  
Fermionic Systems

scholarly journals Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems

2019 ◽  
Vol 100 (24) ◽  
Author(s):  
Rex Lundgren ◽  
Fangli Liu ◽  
Pontus Laurell ◽  
Gregory A. Fiete
Keyword(s):  
Momentum Space ◽  
One Dimensional ◽  
Fermionic Systems

scholarly journals Distilling Entanglement from Fermions

2009 ◽  
Vol 16 (02n03) ◽  
pp. 243-258
Author(s):  
Michael Keyl
Keyword(s):  
Hilbert Spaces ◽  
Point Of View ◽  
Entangled States ◽  
Algebraic Point ◽  
Gaussian States ◽  
Free Fermions ◽  
One Dimensional ◽  
Fermionic Systems ◽  
Maximally Entangled States ◽  
Local Observables

Since fermions are based on anti-commutation relations, their entanglement cannot be studied in the usual way, such that the available theory has to be modified appropriately. Recent publications consider in particular the structure of separable and of maximally entangled states. In this paper we want to discuss local operations and entanglement distillation from bipartite fermionic systems. To this end we apply an algebraic point of view where algebras of local observables, rather than tensor product Hilbert spaces play the central role. We apply our scheme in particular to fermionic Gaussian states, where the whole discussion can be reduced to properties of the covariance matrix. Finally, the results are demonstrated with free fermions on an infinite, one-dimensional lattice.

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