# Nonperturbative interpretation of the Bloch vector's path beyond the rotating-wave approximation

@article{Benenti2013NonperturbativeIO, title={Nonperturbative interpretation of the Bloch vector's path beyond the rotating-wave approximation}, author={Giuliano Benenti and Stefano Siccardi and Giuliano Strini}, journal={Physical Review A}, year={2013}, volume={88}, pages={033814} }

The Bloch vector's path of a two-level system exposed to a monochromatic field exhibits, in the regime of strong coupling, complex corkscrew trajectories. By considering the infinitesimal evolution of the two-level system when the field is treated as a classical object, we show that the Bloch vector's rotation speed oscillates between zero and twice the rotation speed predicted by the rotating wave approximation. Cusps appear when the rotation speed vanishes. We prove analytically that in… Expand

#### 6 Citations

Simple, analytic solutions of the semiclassical Rabi model

- Physics
- Optics Communications
- 2019

Abstract We considered the semiclassical Rabi model, that is, a qubit (transition frequency ω 0 ) interacting with a single-mode, classical field (frequency ω 1 ). Using the method of multiple-scales… Expand

Exotic states in the dynamical Casimir effect

- Physics
- 2014

We consider the interaction of a qubit with a single mode of the quantized electromagnetic field and show that, in the ultrastrong coupling regime and when the qubit-field interaction is switched on… Expand

Interaction between the ultrashort pulse and two-level medium beyond the rotating wave approximation

- Physics
- 2016

Abstract
Based on the semiclassical theory of light-matter interactions, the optical Bloch
equations describing the interaction between light and two-level medium without the
rotating wave… Expand

Dynamical Lamb effect in a superconducting circuit

- Physics
- Physical Review A
- 2019

The dynamical Lamb effect is predicted to arise in superconducting circuits when the coupling of a superconducting qubit with a resonator is periodically switched ``on'' and ``off'' nonadiabatically.… Expand

Visualization of Rabi oscillations in a magnetic resonance

- Physics
- 2013

A visualization scheme for dynamics of a qudit polarization vector in a time-dependent magnetic field is presented by solving equations for a density matrix in Hermitian basis. This is realized by… Expand

Dynamics of quantum transitions in Magnus representation

- Physics
- 2015

Dynamics of a two-level quantum system in an electromagnetic excitation field is investigated in the Magnus representation on the Bloch sphere. This approach leads to the general expressions for the… Expand

#### References

SHOWING 1-10 OF 41 REFERENCES

Non-Markovian dynamics for an open two-level system without rotating wave approximation: indivisibility versus backflow of information

- Physics
- 2012

By use of the recently presented two measures, the indivisibility and the backflow of information, we study the non-Markovianity of the dynamics for a two-level system interacting with a… Expand

Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: analytical results beyond the rotating wave approximation

- Physics
- 2008

We study the dissipative dynamics of a biased two-level system (TLS) coupled to a harmonic oscillator (HO), the latter interacting with an Ohmic environment. Using the Van Vleck perturbation theory… Expand

Collapse and revival of the state vector in the Jaynes-Cummings model: An example of state preparation by a quantum apparatus.

- Physics, Medicine
- Physical review letters
- 1990

The evolution of the atomic state in the resonant Jaynes-Cummings model (a two-level atom interacting with a single mode of the quantized radiation field) with the field initially in a coherent state… Expand

Quantum Zeno and anti-Zeno effects: without the rotating-wave approximation.

- Physics, Medicine
- Physical review letters
- 2008

It is shown that the counterrotating, neglected in the previous studies of the quantum Zeno effect (QZE) in atomic decay, can have a large impact on the short-time evolution and there is no anti-Zeno effect. Expand

Quantum anti-Zeno effect without rotating wave approximation

- Physics
- 2010

In this article, we systematically study the spontaneous decay phenomenon of a two-level system under the influences of both its environment and repetitive measurements. In order to clarify some… Expand

Deep strong coupling regime of the Jaynes-Cummings model.

- Physics, Medicine
- Physical review letters
- 2010

This work proposes an intuitive and predictive physical frame to describe the DSC regime where photon number wave packets bounce back and forth along parity chains of the Hilbert space, while producing collapse and revivals of the initial population. Expand

Schrödinger-cat states in the resonant Jaynes-Cummings model: Collapse and revival of oscillations of the photon-number distribution.

- Physics, Medicine
- Physical review. A, Atomic, molecular, and optical physics
- 1992

The nature of the pure-field-state superposition generated at such times as revival time and asymptotically disentangled is investigated. Expand

Entanglement dynamics of two independent Jaynes-Cummings atoms without the rotating-wave approximation

- Physics
- 2010

Entanglement evolution of two independent Jaynes-Cummings atoms without the rotating-wave approximation (RWA) is studied by a numerically exact approach. Previous results based on the RWA are… Expand

Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator

- Physics
- 2005

Recent experiments on quantum behavior in microfabricated solid-state systems suggest tantalizing connections to quantum optics. Several of these experiments address the prototypical problem of… Expand

Tavis-Cummings model beyond the rotating wave approximation: Quasidegenerate qubits

- Physics
- 2012

The Tavis-Cummings model for more than one qubit interacting with a common oscillator mode is extended beyond the rotating wave approximation (RWA). We explore the parameter regime in which the… Expand