Simulation of Time-dependent Heisenberg Models in 1D

TL;DR

This paper demonstrates how time-dependent external potentials can be used to simulate and control one-dimensional Heisenberg spin chains in strongly interacting quantum systems, enabling dynamic manipulation of exchange interactions.

Contribution

It introduces a theoretical framework for simulating Heisenberg models with tunable couplings via external potential modulation in 1D quantum systems.

Findings

External potentials can effectively control exchange couplings.

Simulation of Heisenberg models with variable parameters.

Potential for dynamic quantum system manipulation.

Abstract

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.