Quantum tight-binding chains with dissipative coupling

TL;DR

This paper introduces a quantum tight-binding chain with dissipative coupling that exhibits unusual thermodynamic behavior and can simulate complex classical problems like multi-dimensional random walks.

Contribution

It presents a novel quantum chain model with dissipative reservoirs that demonstrates anomalous thermodynamics and computationally hard problem simulation.

Findings

Exhibits anomalous thermodynamic behavior contradicting Fourier law

Population dynamics follow polynomial growth depending on initial states

Can simulate classically hard problems like multi-dimensional random walks

Abstract

We present a one-dimensional tight-binding chain of two-level systems coupled only through common dissipative Markovian reservoirs. This quantum chain can demonstrate anomalous thermodynamic behavior contradicting Fourier law. Population dynamics of individual systems of the chain is polynomial with the order determined by the initial state of the chain. The chain can simulate classically hard problems, such as multi-dimensional random walks.