# PT spectroscopy of the Rabi problem

@article{Joglekar2014PTSO, title={PT spectroscopy of the Rabi problem}, author={Yogesh N. Joglekar and Rahul Marathe and P. Durganandini and Rajeev K Pathak}, journal={Physical Review A}, year={2014}, volume={90}, pages={040101} }

We investigate the effects of a time-periodic, non-hermitian, PT-symmetric perturbation on a system with two (or few) levels, and obtain its phase diagram as a function of the perturbation strength and frequency. We demonstrate that when the perturbation frequency is close to one of the system resonances, even a vanishingly small perturbation leads to PT symmetry breaking. We also find a restored PT-symmetric phase at high frequencies, and at moderate perturbation strengths, we find multiple…

## 34 Citations

### Perpetual emulation threshold of PT-symmetric Hamiltonians

- PhysicsJournal of physics. A, Mathematical and theoretical
- 2018

It is shown that it is possible to emulate the desired behaviour of the P T -symmetric Hamiltonian without depleting the reservoir levels, by including an additional coupling between them, which extends the emulation time indefinitely, when in the unbroken symmetry phase of the non-unitary P T dynamics.

### Parity-time symmetry in periodically curved optical waveguides.

- PhysicsOptics express
- 2018

This study investigates the scenario that two optical waveguides are spatially curved so that they switch periodically between unbroken and broken PT phases, and shows that the existence of locally broken PT phase does not necessarily render a broken phase to waves propagating inside.

### Non-Hermitian Floquet invisibility

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- 2016

Wave transport and scattering in open systems can be profoundly affected by non-Hermitian dynamics. In this work we consider wave scattering in a one-dimensional tight-binding lattice with a…

### Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems

- PhysicsJournal of Physics: Conference Series
- 2021

Over the past two decades, open systems that are described by a non-Hermitian Hamiltonian have become a subject of intense research. These systems encompass classical wave systems with balanced gain…

### Non-hermitian dynamics in delay coupled semiconductor lasers

- PhysicsActive Photonic Platforms XI
- 2019

This paper describes our work on the realization of a non-hermitian Hamiltonian system in time-delay coupled semiconductor lasers consisting of two identical lasers, operated with a small frequency…

### Floquet higher-order exceptional points and dynamics in PT-symmetric quadrimer waveguides

- Physics
- 2020

Abstract We investigate the effect of periodic modulation on PT-symmetry recovery, higher-order exceptional points (EPs) and dynamics for a periodically modulated PT-symmetric quadrimer waveguide…

### Consistency of PT-symmetric quantum mechanics

- Physics
- 2016

In recent reports, suggestions have been put forward to the effect that parity and time-reversal (PT) symmetry in quantum mechanics is incompatible with causality. It is shown here, in contrast, that…

### Protecting coherence in the non-Hermitian two-level system

- Physics
- 2016

We have constructed a non-Hermitian two-level system (a PT -symmetric system) in dissipative environments, and investigated the quantum coherence in the non-Hermitian two-level system. Our results…

## References

SHOWING 1-10 OF 54 REFERENCES

### Robust PT-symmetric chain and properties of its Hermitian counterpart

- Physics
- 2011

We study the properties of a parity- and time-reversal- (PT) symmetric tight-binding chain of size N with position-dependent hopping amplitude. In contrast to the fragile PT-symmetric phase of a…

### Degrees and signatures of broken PT symmetry in nonuniform lattices

- Physics
- 2011

We investigate the robustness of the parity- and time-reversal (PT) symmetric phase in an N-site lattice with a position-dependent, parity-symmetric hopping function and a pair of imaginary,…

### Exponentially fragile PT symmetry in lattices with localized eigenmodes.

- PhysicsPhysical review letters
- 2009

The effect of localized modes in lattices of size N with parity-time (PT) symmetry, arranged in pairs of quasidegenerate levels with splitting delta, shows a cascade of bifurcations during which a pair of real levels becomes complex.

### Crossing rule for a PT-symmetric two-level time-periodic system

- Physics, Mathematics
- 2011

For a two-level system in a time-periodic field we show that in the non-Hermitian PT case the level crossing is of two quasistationary states that have the same dynamical symmetry property. At the…

### Observation of PT-symmetry breaking in complex optical potentials.

- PhysicsPhysical review letters
- 2009

This work demonstrates experimentally passive PT-symmetry breaking within the realm of optics, which leads to a loss induced optical transparency in specially designed pseudo-Hermitian guiding potentials.

### EXCEPTIONAL POINTS IN OPEN AND PT-SYMMETRIC SYSTEMS

- Physics
- 2013

Exceptional points (EPs) determine the dynamics of open quantum systems and cause also PT symmetry breaking in PT symmetric systems. From a mathematical point of view, this is caused by the fact that…

### Pseudo-parity-time symmetry in optical systems.

- PhysicsPhysical review letters
- 2013

The pseudo-parity-time (pseudo-PT) symmetry in periodically modulated optical systems with balanced gain and loss is introduced and it is demonstrated that whether or not the original system is PT symmetric, the property of the PT symmetry can be manipulated by applying a periodic modulation.

### Spectral and transport properties of time-periodic PT -symmetric tight-binding lattices

- Physics
- 2013

We investigate the spectral properties and dynamical features of a time-periodic $\mathcal{PT}$-symmetric Hamiltonian on a one-dimensional tight-binding lattice. It is shown that a high-frequency…

### Unidirectional invisibility induced by PT-symmetric periodic structures.

- PhysicsPhysical review letters
- 2011

Parity-time (PT) symmetric periodic structures, near the spontaneous PT-symmetry breaking point, can act as unidirectional invisible media and the transmission coefficient and phase are indistinguishable from those expected in the absence of a grating.

### Observation of parity–time symmetry in optics

- Physics
- 2010

One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical observables 1 . In the case of the Hamiltonian operator, this requirement not only implies real…