Time-dependent density functional theory for open spin chains

TL;DR

This paper extends time-dependent density functional theory (TDDFT) methods to simulate Lindblad evolution in open spin chains, enabling potentially simpler wave function simulations of quantum dissipative systems.

Contribution

It introduces an extension of TDDFT to Lindblad dynamics in spin chains, broadening the applicability of TDDFT to open quantum systems.

Findings

Demonstrates the feasibility of applying TDDFT to Lindblad evolution

Provides a framework for simulating open quantum systems with simpler wave functions

Extends the scope of TDDFT beyond closed systems

Abstract

The application of methods of time-dependent density functional theory (TDDFT) to systems of qubits provided the interesting possibility of simulating an assigned Hamiltonian evolution by means of an auxiliary Hamiltonian having different two-qubit interactions and hence a possibly simpler wave function evolution. In this note we extend these methods to some instances of Lindblad evolution of a spin chain.