Dissipative Quantum Ising model in a cold atomic spin-boson mixture

TL;DR

This paper proposes a cold atom setup to simulate a dissipative quantum Ising model, enabling the study of quantum phase transitions influenced by controlled dissipation in a tunable environment.

Contribution

It introduces a novel cold atom system that realizes a dissipative quantum Ising model with tunable parameters and dissipation effects.

Findings

Demonstrates a controllable quantum phase transition influenced by dissipation.

Provides a platform for studying open quantum many-body systems.

Shows how laser and collision couplings simulate transverse fields and Ising interactions.

Abstract

Using cold bosonic atoms with two (hyperfine) ground states, we introduce a spin-boson mixture which allows to implement the quantum Ising model in a tunable dissipative environment. The first specie lies in a deep optical lattice with tightly confining wells and forms a spin array; spin-up/down corresponds to occupation by one/no atom at each site. The second specie forms a superfluid reservoir. Different species are coupled coherently via laser transitions and collisions. Whereas the laser coupling mimics a transverse field for the spins, the coupling to the reservoir sound modes induces a ferromagnetic (Ising) coupling as well as dissipation. This gives rise to an order-disorder quantum phase transition where the effect of dissipation can be studied in a controllable manner.