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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Nonlinear phase dynamics in a driven bosonic Josephson junction.

Erez Boukobza¹, Michael G Moore, Doron Cohen

¹Department of Chemistry, Ben-Gurion University of the Negev, Post Office Box 653, Beer-Sheva 84105, Israel.

Physical Review Letters

|September 28, 2010

Summary

This summary is machine-generated.

We show that modulating the potential barrier in a driven Bose-Hubbard model stabilizes an inverted pendulum state. This stabilization protects the fringe visibility in quantum condensate dynamics.

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Area of Science:

Quantum physics
Condensed matter physics
Many-body dynamics

Background:

The Bose-Hubbard model describes interacting bosons in a lattice.
Collective dynamics in driven quantum systems exhibit complex behavior.
Fringe visibility is a key indicator of quantum coherence.

Purpose of the Study:

To investigate the collective dynamics of a driven two-mode Bose-Hubbard model.
To understand the role of classical phase space structure in quantum dynamics.
To explore methods for stabilizing coherent states in driven quantum systems.

Main Methods:

Analysis of the driven two-mode Bose-Hubbard model in the Josephson interaction regime.
Characterization of the classical phase space (mixed chaotic and regular components).
Application of a master equation approach to model many-body dynamics.

Main Results:

The classical phase space is mixed, influencing fringe visibility.
For weak drives, dynamics resemble a Kapitza pendulum with relative phase φ as the angle.
Modulation of the intersite potential barrier stabilizes the φ=π "inverted pendulum" coherent state.

Conclusions:

The Kapitza pendulum analogy provides insight into the system's dynamics.
Modulating the intersite potential barrier is an effective strategy to stabilize quantum coherence.
Stabilization of the inverted pendulum state protects fringe visibility, crucial for quantum information applications.