Bulletin of the American Physical Society
Mid-Atlantic Section 2022 Meeting
Volume 67, Number 20
Friday–Sunday, December 2–4, 2022; University Park, PA, Pennsylvania State University
Session E03: Gravitational Physics and Cosmology II
2:00 PM–3:12 PM,
Saturday, December 3, 2022
Pennsylvania State University
Room: Osmond 105
Chair: Mauricio Gamonal, Pennsylvania State University
Abstract: E03.00004 : Symmetries and Symmetry Breaking in Open Qubit Systems
2:36 PM–2:48 PM
Presenter:
Sean T Prudhoe
(Pennsylvania State University)
Authors:
Sean T Prudhoe
(Pennsylvania State University)
Sarah E Shandera
(Pennsylvania State University)
Thus to address the construction of equations of motion in open quantum systems, we consider the reduced dynamics generated from interacting qubits that has a global symmetry, as well as a phase covariance/time translation symmetry. We show how the 1-qubit reduced dynamics is constrained by these symmetries, and how in conjunction with the initial environment state, one can construct effective equations of motion.
To more closely connect with open cosmological systems, we also consider interactions with a third qubit which explicitly breaks the time translation symmetry present. We calculate the post time translation symmetry breaking dynamical map, and determine how it differs from the time translation symmetric map.
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