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Quantum phase-locking and frequency down-conversion in a driven cavity-qubit system

Nathan, Frederik and Refael, Gil and Rudner, Mark S. and Martin, Ivar (2020) Quantum phase-locking and frequency down-conversion in a driven cavity-qubit system. . (Unpublished)

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We study a periodically driven qubit coupled to a quantized cavity mode. Despite its apparent simplicity, this system supports a rich variety of exotic phenomena, such as topological frequency conversion as recently discovered in [PRX 7, 041008 (2017)]. Here we report on a qualitatively different phenomenon that occurs in this platform, namely the phase-locking of the cavity mode to a rational fraction r/q of the driving frequency Ω. The phase-locking regime is characterized by the emergence of q-tuplets of stationary (Floquet) states whose quasienergies are separated by Ω/q, up to exponentially small corrections. The Wigner functions of these states are nearly identical, and exhibit highly-regular and symmetric structure in phase space. Similarly to Floquet time crystals, these phase-locked states underlie discrete time-translation symmetry breaking in the model. We develop two complementary approaches for analyzing and predicting phase locking in the model, and use them to identify the conditions under which it occurs.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Rudner, Mark S.0000-0002-5150-6234
Martin, Ivar0000-0002-2010-6449
Additional Information:IM was supported by the Materials Sciences and Engineering Division, Basic Energy Sciences, Office of Science, U.S. Dept. of Energy. FN and MR are grateful to the Villum Foundation for support. GR is grateful for NSF DMR grant number 1839271. GR is also grateful to the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award de-sc0019166. NSF and DOE supported GR's time commitment to the project in equal shares.
Group:UNSPECIFIED, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0019166
Villum FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20200519-080742316
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103299
Deposited By: Tony Diaz
Deposited On:19 May 2020 16:22
Last Modified:04 Jun 2020 10:35

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