Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System

Details Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System

2011-06-20

arxiv.org/abs/1106.3800v2

Phys. Rev. A 84, 042110 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 5 figures

Scientific paper

10.1103/PhysRevA.84.042110

The single-mode spin-boson model exhibits behavior not included in the rotating wave approximation (RWA) in the ultra and deep-strong coupling regimes, where counter-rotating contributions become important. We introduce a symmetric rotating wave approximation that treats rotating and counter-rotating terms equally, preserves the invariances of the Hamiltonian with respect to its parameters, and reproduces several qualitative features of the spin-boson spectrum not present in the original rotating wave approximation both off-resonance and at deep strong coupling. The symmetric rotating wave approximation allows for the treatment of certain ultra and deep-strong coupling regimes with similar accuracy and mathematical simplicity as does the RWA in the weak coupling regime. Additionally, we symmetrize the generalized form of the rotating wave approximation to obtain the same qualitative correspondence with the addition of improved quantitative agreement with the exact numerical results. The method is readily extended to higher accuracy if needed. Finally, we introduce the two-photon parity operator for the two-photon Rabi Hamiltonian and obtain its generalized symmetric rotating wave approximation. The existence of this operator reveals a parity symmetry similar to that in the Rabi Hamiltonian as well as another symmetry that is unique to the two-photon case, providing insight into the mathematical structure of the two-photon spectrum, significantly simplifying the numerics, and revealing some interesting dynamical properties.

Affiliated with

Also associated with

No associations

Rating

Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254457