Quantum Zeno Subspaces induced by Temperature

TL;DR

This paper explores how increasing temperature enhances the formation of Quantum Zeno subspaces in a system interacting with a thermal environment, extending the concept to bosonic reservoirs under certain conditions.

Contribution

It introduces a temperature-dependent mechanism for the formation of Quantum Zeno subspaces, broadening understanding of quantum system dynamics at thermal equilibrium.

Findings

Higher temperature improves Zeno subspace formation.

The analysis applies to bosonic reservoirs with bandwidth limitations.

The approach remains valid across different thermal interactions.

Abstract

We discuss the partitioning of the Hilbert space of a quantum system induced by the interaction with another system at thermal equilibrium, showing that the higher the temperature the more effective is the formation of Zeno subspaces. We show that our analysis keeps its validity even in the case of interaction with a bosonic reservoir, provided appropriate limitations of the relevant bandwidth.