Bipartite entanglement induced by classically-constrained quantum dissipative dynamics

TL;DR

This paper explores how classically constrained dissipative dynamics can induce bipartite entanglement between two quantum systems, revealing conditions for maximal entanglement generation and its dependence on initial states and local Hamiltonians.

Contribution

It introduces a framework for modeling constrained dissipative dynamics in quantum systems and analyzes how these constraints can generate and control entanglement.

Findings

Maximal entanglement can be achieved with local Hamiltonians that do not commute with the constraints.

The stationary entanglement depends on the initial state of the systems.

Classical constraints can induce bipartite entanglement in dissipative quantum dynamics.

Abstract

The properties of some complex many body systems can be modeled by introducing in the dissipative dynamics of each single component a set of kinetic constraints that depend on the state of the neighbor systems. Here, we characterize this kind of dynamics for two quantum systems whose independent dissipative evolutions are defined by a Lindblad equation. The constraints are introduced through a set of projectors that restrict the action of each single dissipative Lindblad channel to the state of the other system. Conditions that guaranty a classical interpretation of the kinetic constraints are found. The generation and evolution of entanglement is studied for two optical qubits systems. Classically constrained dissipation leads to a stationary state whose degree of entanglement depends on the initial state. Nevertheless, independently of the initial conditions, a maximal entangled state is generated when both systems are subjected to the action of local Hamiltonian fields that do not commutate with the constraints. The underlying physical mechanism is analyzed in detail.