CONAN—The cruncher of local exchange coefficients for strongly interacting confined systems in one dimension

TY - JOUR

T1 - CONAN—The cruncher of local exchange coefficients for strongly interacting confined systems in one dimension

AU - Loft, Niels Jakob Søe

AU - Kristensen, Lasse Bjørn

AU - Thomsen, Anders

AU - Volosniev, Artem

AU - Zinner, Nikolaj Thomas

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We consider a one-dimensional system of particles with strong zero-range interactions. This system can be mapped onto a spin chain of the Heisenberg type with exchange coefficients that depend on the external trap. In this paper, we present an algorithm that can be used to compute these exchange coefficients. We introduce an open source code CONAN (Coefficients of One-dimensional N-Atom Networks) which is based on this algorithm. CONAN works with arbitrary external potentials and we have tested its reliability for system sizes up to around 35 particles. As illustrative examples, we consider a harmonic trap and a box trap with a superimposed asymmetric tilted potential. For these examples, the computation time typically scales with the number of particles as O(N 3.5±0.4). Computation times are around 10 s for N=10 particles and less than 10 min for N=20 particles.

AB - We consider a one-dimensional system of particles with strong zero-range interactions. This system can be mapped onto a spin chain of the Heisenberg type with exchange coefficients that depend on the external trap. In this paper, we present an algorithm that can be used to compute these exchange coefficients. We introduce an open source code CONAN (Coefficients of One-dimensional N-Atom Networks) which is based on this algorithm. CONAN works with arbitrary external potentials and we have tested its reliability for system sizes up to around 35 particles. As illustrative examples, we consider a harmonic trap and a box trap with a superimposed asymmetric tilted potential. For these examples, the computation time typically scales with the number of particles as O(N 3.5±0.4). Computation times are around 10 s for N=10 particles and less than 10 min for N=20 particles.

KW - Other condensed matter inc. simulation of liquids and solids

KW - Theoretical methods

KW - Wave functions and integrals

UR - http://www.scopus.com/inward/record.url?scp=84991746961&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2016.08.021

DO - 10.1016/j.cpc.2016.08.021

M3 - Journal article

SN - 0010-4655

VL - 209

SP - 171

EP - 182

JO - Computer Physics Communications

JF - Computer Physics Communications

ER -