Keywords

Open sytems, decoherence, oscillators, qubits, quantum

Abstract

In this paper we develop a method of solving the dynamics of minimal open systems of coupled oscillators and qubits. Extracting the time-dependence of the system from its underlying Lie algebra of operators we find the time evolution operator, allowing us to explore the evolution of various initial states of the system and environment. For these initial states we find the linear entropy, a measure of decoherence of the system, and visualize the dynamics using Husimi functions and Bloch spheres for oscillator and qubit systems, respectively. We find that increasing the interaction of the system with its environment results in more rapid decoherence. For coupled oscillators, under the rotating wave approximation we find periodic linear entropies whereas for the anti-rotating wave approximation we find that the linear entropy can lose periodicity. For a qubit system coupled to an oscillator environment we find oscillatory linear entropies that are pseudo-periodic.

Document Type

Report

Publication Date

2019-08-16

Language

English

College

Physical and Mathematical Sciences

Department

Physics and Astronomy

University Standing at Time of Publication

Junior

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