Simulation of time-dependent Heisenberg models in one dimension

TY - JOUR

T1 - Simulation of time-dependent Heisenberg models in one dimension

AU - Volosniev, A. G.

AU - Hammer, H. -W.

AU - Zinner, N. T.

PY - 2016/3/14

Y1 - 2016/3/14

N2 - In this paper, we provide a theoretical analysis of strongly interacting quantum systems confined by a time-dependent external potential in one spatial dimension. We show that such systems can be used to simulate spin chains described by Heisenberg Hamiltonians in which the exchange coupling constants can be manipulated by time-dependent driving of the shape of the external confinement. As illustrative examples, we consider a harmonic trapping potential with a variable frequency and an infinite square-well potential with a time-dependent barrier in the middle.

AB - In this paper, we provide a theoretical analysis of strongly interacting quantum systems confined by a time-dependent external potential in one spatial dimension. We show that such systems can be used to simulate spin chains described by Heisenberg Hamiltonians in which the exchange coupling constants can be manipulated by time-dependent driving of the shape of the external confinement. As illustrative examples, we consider a harmonic trapping potential with a variable frequency and an infinite square-well potential with a time-dependent barrier in the middle.

KW - cond-mat.quant-gas

KW - nucl-th

UR - http://www.scopus.com/inward/record.url?scp=84960907262&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.93.094414

DO - 10.1103/PhysRevB.93.094414

M3 - Journal article

SN - 2469-9950

VL - 93

JO - Physical Review B

JF - Physical Review B

IS - 9

M1 - 094414

ER -