Gauge Principle and Gauge Invariance in Two-Level Systems
arXiv:2101.00083 · doi:10.1103/PhysRevA.103.053703
Abstract
The quantum Rabi model is a widespread description of the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become evident when the light-matter interaction reaches the so-called ultrastrong coupling regime. Recently, a modified quantum Rabi model able to provide gauge-invariant physical results (e.g., energy levels, expectation values of observables, quantum probabilities) in any interaction regime was introduced [Nature Physics 15, 803 (2019)]. Here we provide an alternative derivation of this result, based on the implementation in two-state systems of the gauge principle, which is the principle from which all the fundamental interactions in quantum field theory are derived. The adopted procedure can be regarded as the two-site version of the general method used to implement the gauge principle in lattice gauge theories. Applying this method, we also obtain the gauge-invariant quantum Rabi model for asymmetric two-state systems, and the multi-mode gauge-invariant quantum Rabi model beyond the dipole approximation.
arXiv commentarXiv admin note: substantial text overlap with arXiv:2006.06583
References in corpus (22)
- Ultrastrong coupling between light and matter
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Ultrastrong coupling regimes of light-matter interaction
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Photon Blockade in the Ultrastrong Coupling Regime
- Resolution of Gauge Ambiguities in Ultrastrong-Coupling Cavity QED
- Breakdown of gauge invariance in ultrastrong-coupling cavity QED
- A Single Photon Can Simultaneously Excite Two or More Atoms
- Deterministic quantum nonlinear optics with single atoms and virtual photons
- Multiphoton Quantum Rabi Oscillations in Ultrastrong Cavity QED
- Cavity QED of Strongly Correlated Electron Systems: A No-go Theorem for Photon Condensation
- Theory of Photon Condensation in a Spatially-Varying Electromagnetic Field
- Polaritonic Coupled-Cluster Theory
- Theoretical methods for ultrastrong light-matter interactions
- Gauge ambiguities imply Jaynes-Cummings physics remains valid in ultrastrong coupling QED
- Quantum Nonlinear Optics without Photons
- Gauge Fixing for Strongly Correlated Electrons coupled to Quantum Light
- Gauge invariance of the Dicke and Hopfield models
- Gauge freedom, quantum measurements, and time-dependent interactions in cavity and circuit QED
- TRK Sum Rule for Interacting Photons
- Ultrastrong time-dependent light-matter interactions are gauge-relative
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