PT spectroscopy of the Rabi problem

  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},
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… 

Figures from this paper

Perpetual emulation threshold of PT-symmetric Hamiltonians
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.
Non-Hermitian Floquet invisibility
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
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
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
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
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
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
Investigation of the effect of quantum measurement on parity-time symmetry
Symmetry, including the parity-time ( PT )-symmetry, is a striking topic, widely discussed and em-ployed in many fields. It is well-known that quantum measurement can destroy or disturb quantum


Robust PT-symmetric chain and properties of its Hermitian counterpart
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
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.
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
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.
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 (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.
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.
Unidirectional invisibility induced by PT-symmetric periodic structures.
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
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
Integrability of the Rabi model.
  • D. Braak
  • Physics
    Physical review letters
  • 2011
A criterion for quantum integrability is proposed which shows that the Rabi model is integrable due to the presence of a discrete symmetry; a generalization with no symmetries is introduced, which is the first example of a nonintegrable but exactly solvable system.