Kinetics of Many-Body Reservoir Engineering

TL;DR

This paper develops a kinetic framework to analyze the dynamics of many-body systems coupled to engineered reservoirs, revealing how steady states can resemble modified Bose-Einstein distributions with energy-dependent temperatures.

Contribution

It introduces a novel kinetic equations approach for understanding reservoir-engineered many-body systems, applicable to quantum simulators and bosonic arrays.

Findings

Steady states can be described by a modified Bose-Einstein distribution.

The framework captures both transient and long-time dynamics.

Engineered reservoirs can induce energy-dependent effective temperatures.

Abstract

Recent advances illustrate the power of reservoir engineering in applications to many-body systems, such as quantum simulators based on superconducting circuits. We present a framework based on kinetic equations and noise spectra that can be used to understand both the transient and long-time behavior of many particles coupled to an engineered reservoir in a number-conserving way. For the example of a bosonic array, we show that the non-equilibrium steady state can be expressed, in a wide parameter regime, in terms of a modified Bose-Einstein distribution with an energy-dependent temperature.