Floquet Dressing and Bath Spectral Effects on the Geometric Phase of a Driven Dissipative Qubit
Abstract
The geometric phase (GP) of a periodically driven symmetricspin-boson model (SBM) is investigated using the process-tensor time-evolving matrix product operator (PT-TEMPO) method. A longitudinal monochromatic field drives the qubit along the \emph{same} coordinate that couples to an Ohmic bosonic environment. The gauge-invariant kinematic GP is evaluated from the reduced-statetrajectory, and a circular non-additivity measure quantifies the combined effects of driving and dissipation relative to driven-unitary and undriven-dissipative references. Amplitude, frequency, coupling-strength, and bath-cutoff sweeps reveal regimes in which periodic driving reduces or enhances environmental phase deformation relative to the unitary counterpart. The one-cycle GP exhibits pronounced nonmonotonic drive frequency dependence, while its bath-induced shift depends sensitively on both coupling strength and cutoff. These trends are interpreted qualitatively in terms of Floquet dressing and bath spectral structure. A two-cycle echo provides a complementary reversibility diagnostic, whose persistence signal does not generally measure the Tong GP. The results characterize the non-additive influence of driving and dissipation on geometric-phase dynamics and identify parameter regimes of reduced bath-induced deformation.
Related
- Asymptotic Pseudospectra in Dissipative Floquet Quantum Systems: Geometric Structures and Observable Dynamics
- Floquet dressing of bulk metallic bands in 2H-NbSe2
- Measurement protocol for non-adiabatic geometric phases of Floquet states
- Exciton-driven coherent dressing in transient absorption
- Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement
BibTeX
@misc{arora2026floquet,
title = {{Floquet Dressing and Bath Spectral Effects on the Geometric Phase of a Driven Dissipative Qubit}},
author = {Chirag Arora},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.16609},
eprint = {2609.16609},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16609},
}
RIS
TY - UNPB
TI - Floquet Dressing and Bath Spectral Effects on the Geometric Phase of a Driven Dissipative Qubit
AU - Chirag Arora
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2609.16609
UR - https://arxiv.org/abs/2609.16609
AB - The geometric phase (GP) of a periodically driven symmetricspin-boson model (SBM) is investigated using the process-tensor time-evolving matrix product operator (PT-TEMPO) method. A longitudinal monochromatic field drives the qubit along the \emph{same} coordinate that couples to an Ohmic bosonic environment. The gauge-invariant kinematic GP is evaluated from the reduced-statetrajectory, and a circular non-additivity measure quantifies the combined effects of driving and dissipation relative to driven-unitary and undriven-dissipative references. Amplitude, frequency, coupling-strength, and bath-cutoff sweeps reveal regimes in which periodic driving reduces or enhances environmental phase deformation relative to the unitary counterpart. The one-cycle GP exhibits pronounced nonmonotonic drive frequency dependence, while its bath-induced shift depends sensitively on both coupling strength and cutoff. These trends are interpreted qualitatively in terms of Floquet dressing and bath spectral structure. A two-cycle echo provides a complementary reversibility diagnostic, whose persistence signal does not generally measure the Tong GP. The results characterize the non-additive influence of driving and dissipation on geometric-phase dynamics and identify parameter regimes of reduced bath-induced deformation.
ER -