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 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

The application of numerical topological invariants in simulations of knotted rings: A comprehensive Monte Carlo approach

2020 ◽  
pp. 2150005
Author(s):  
Franco Ferrari ◽  
Yani Zhao
Keyword(s):  
Monte Carlo ◽  
Discrete Version ◽  
Topological Invariants ◽  
One Dimensional ◽  
Knot Invariants ◽  
Knot Invariant ◽  
Sampling Process ◽  
Energy Domain ◽  
Sharp Corners ◽  
Monte Carlo Framework

In this work, a general Monte Carlo framework is proposed for applying numerical knot invariants in simulations of systems containing knotted one-dimensional ring-shaped objects like polymers and vortex lines in fluids, superfluids or other quantum liquids. A general prescription for smoothing the sharp corners appearing in discrete knots consisting of segments joined together is provided. Smoothing is very important for the correct evaluation of numerical knot invariants. A discrete version of framing is adopted in order to eliminate singularities that are possibly arising when computing the invariants. The presented algorithms for smoothing, eliminating potentially dangerous singularities and speeding up the calculations are quite general and can be applied to any discrete knot defined off- or on-lattice. This is one of the first attempts to use numerical knot invariants in order to avoid potential topology breakings during the sampling process taking place in computer simulations, in which millions of knot conformations are randomly generated. As an application, the energy domain of knotted polymer rings subjected to short-range interactions is studied using the so-called Vassiliev knot invariant of degree 2.

scholarly journals Entanglement topological invariants for one-dimensional topological superconductors

2020 ◽  
Vol 101 (8) ◽  
Author(s):  
P. Fromholz ◽  
G. Magnifico ◽  
V. Vitale ◽  
T. Mendes-Santos ◽  
M. Dalmonte
Keyword(s):  
Topological Invariants ◽  
One Dimensional ◽  
Topological Superconductors

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
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