Simulating spin-orbit coupled Bose-Einstein condensates: a concise overview for non-experts

TL;DR

This paper provides a concise overview of spin-orbit coupled Bose-Einstein condensates, discussing simulation methods, a novel phase, and the application of complex Langevin sampling as an effective numerical approach.

Contribution

It introduces a versatile simulation framework for SOC BECs using complex Langevin sampling, highlighting its advantages over traditional particle-based methods.

Findings

Identification of a novel 'microemulsion' phase in SOC BECs

Demonstration of complex Langevin sampling as an effective simulation tool

Comparison showing advantages over particle-based simulation methods

Abstract

Cold ensembles of bosons are a useful platform for studying many-body quantum states present in quantum technologies, and simulations of these systems are convenient for streamlining design of such technologies. This paper provides an overview of spin-orbit coupled Bose-Einstein condensates (SOC BECs), along with an overview of simulation methods and a case study on a novel "microemulsion" phase. These SOC-BECs are further described in the context of coherent states quantum field theory, utilizing the complex Langevin sampling scheme as a numerical algorithm. This approach for studying SOC BECs is a versatile and powerful alternative to particle-based methods and has promise for simulating other bosonic quantum states.