Dynamical effects induced by synthetic SU(1,1) gauge fields
Abstract
Compact gauge fields are powerful tools for controlling quantum dynamics and topological phases of matter. Non-compact gauge fields are particularly relevant for open systems, where particles or energy are exchanged with the environment. Here, we investigate the wavepacket and entanglement dynamics induced by an SU(1,1) gauge field. The wavepacket undergoes non-Abelian non-compact Bloch oscillations, in which the spectrum of an auxiliary one-dimensional quantum problem determines the transition between stable oscillations and unstable amplification. In the unstable adiabatic regime, the wavepacket probes an SU(1,1) topological defect, and its amplification is determined solely by a hyperbolic solid angle in Minkowski space. Threading an SU(1,1) gauge field through a bosonic tight-binding model yields the bosonic Kitaev model, whose volume or super-volume entanglement scaling is governed by the stability of the gauge field. We further propose an experimental realization of an SU(1,1) gauge field in a spinor condensate. Our results can be generalized to other non-compact groups and higher dimensions, providing a geometric framework for entanglement control, selective amplification, and engineering energy transfer.
Related
- Synthetic SU(3) non-Abelian gauge fields in photonic synthetic frequency dimensions
- Spin effects in the particle current of Bose-Einstein condensates in synthetic gauge fields
- From Traveling Waves to Synthetic Gauge Fields: A Field-Free Route to Superconducting Diode Effect
- Thermodynamic volumes of extended black hole thermodynamics with auxiliary gauge fields
- Synthetic SU(1,1) Gauge Control of Non-Hermitian Light
BibTeX
@misc{lv2026dynamical,
title = {{Dynamical effects induced by synthetic SU(1,1) gauge fields}},
author = {Chenwei Lv},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08447},
eprint = {2611.08447},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08447},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamical effects induced by synthetic SU(1,1) gauge fields
AU - Chenwei Lv
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.08447
UR - https://arxiv.org/abs/2611.08447
AB - Compact gauge fields are powerful tools for controlling quantum dynamics and topological phases of matter. Non-compact gauge fields are particularly relevant for open systems, where particles or energy are exchanged with the environment. Here, we investigate the wavepacket and entanglement dynamics induced by an SU(1,1) gauge field. The wavepacket undergoes non-Abelian non-compact Bloch oscillations, in which the spectrum of an auxiliary one-dimensional quantum problem determines the transition between stable oscillations and unstable amplification. In the unstable adiabatic regime, the wavepacket probes an SU(1,1) topological defect, and its amplification is determined solely by a hyperbolic solid angle in Minkowski space. Threading an SU(1,1) gauge field through a bosonic tight-binding model yields the bosonic Kitaev model, whose volume or super-volume entanglement scaling is governed by the stability of the gauge field. We further propose an experimental realization of an SU(1,1) gauge field in a spinor condensate. Our results can be generalized to other non-compact groups and higher dimensions, providing a geometric framework for entanglement control, selective amplification, and engineering energy transfer.
ER -