Environment-induced entanglement in a refined weak-coupling limit

¹  Dipartimento di Fisica Teorica, Università di Trieste - 34014 Trieste, Italy, EU
²  Istituto Nazionale di Fisica Nucleare, Sezione di Trieste - 34014 Trieste, Italy, EU

Corresponding author: benatti@ts.infn.it

Received: 12 August 2009
Accepted: 12 October 2009

Abstract

Two non-directly interacting qubits with equal frequencies can become entangled via a Markovian, dissipative dynamics through the action of a weakly coupled Ohmic heat bath. In the standard weak-coupling limit derivation, this purely dissipative effect disappears if the frequencies are different because of the “ergodic average” used by this approach. However, there are physical situations where this technique is too rough to capture all the relevant aspects of the dissipative dynamics. In these cases, in order to better describe the physical behavior of the open system, it is necessary to go beyond the “ergodic average”. We show that, in this more refined framework, the entanglement capability of the environment persists also in the case of different frequencies.