Open sytems, decoherence, oscillators, qubits, quantum
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.
BYU ScholarsArchive Citation
Randles, Kevin; Van Huele, Jean-François S.; and Berrondo, Manuel, "Decoherence of Open Systems of Coupled Oscillators and Qubits" (2019). Student Works. 324.
Physical and Mathematical Sciences
Physics and Astronomy
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