Dissipation in fermionic two-body continuous-time quantum walk under the steepest entropy ascent formalism

TL;DR

This paper explores how fermionic quantum walkers on a 1D graph thermalize under dissipation modeled by the steepest entropy ascent formalism, revealing the impact of interactions on entropy and thermalization.

Contribution

It introduces the application of the SEA formalism to many-body fermionic quantum walks, analyzing the effects of interactions on dissipative dynamics and thermalization.

Findings

Interaction strength influences thermalization rates.

SEA formalism effectively models nonlinear dissipation.

Dissipation impacts quantum correlations and entropy production.

Abstract

Quantum walks play a crucial role in quantum algorithms and computational problems. Many-body quantum walks can reveal and exploit quantum correlations that are unavailable for single-walker cases. Studying quantum walks under noise and dissipation, particularly in multi-walker systems, has significant implications. In this context, we use a thermodynamically consistent formalism of dissipation modeling, namely the steepest entropy ascent (SEA) formalism. We analyze two spinless fermionic continuous-time walkers on a 1D graph with tunable Hubbard and extended Hubbard-like interactions. By contrasting SEA-driven dynamics with unitary evolution, we systematically investigate how interaction strengths modulate thermalization and entropy production. Our findings highlight the relevance of SEA formalism in modeling nonlinear dissipation in many-body quantum systems and its implications for quantum thermalization.