Beam dynamics in quadratically nonlinear waveguides with gain and losses

Tsoy, Eduard N.; Abdullaev, F. Kh.; Eshniyazov, V. E.

doi:10.1103/physreva.98.043854

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1). In this context, the quantum diffusion in a system with non-Hermiticity and nonlinearity deserves urgent investigations [62][63][64][65][66][67][68][69].…”

mentioning

confidence: 99%

Super-exponential diffusion in nonlinear non-Hermitian systems

Zhao,

Zhou,

Liu

et al. 2020

Preprint

View full text Add to dashboard Cite

We investigate the quantum diffusion of a periodically kicked particle subjecting to both nonlinearity induced self-interactions and PT -symmetric potentials. We find that, due to the interplay between the nonlinearity and non-Hermiticity, the expectation value of mean square of momentum scales with time in a super-exponential form p 2 (t) ∝ exp[β exp(αt)], which is faster than any known rates of quantum diffusion. In the PT -symmetry-breaking phase, the intensity of a state increases exponentially with time, leading to the exponential growth of the interaction strength. The feedback of the intensity-dependent nonlinearity further turns the interaction energy into the kinetic energy, resulting in a super-exponential growth of the mean energy. These theoretical predictions are in good agreement with numerical simulations in a PT -symmetric nonlinear kicked particle. Our discovery establishes a new mechanism of diffusion in interacting and dissipative quantum systems. Important implications and possible experimental observations are discussed.

show abstract

“…1). In this context, the quantum diffusion in a system with non-Hermiticity and nonlinearity deserves urgent investigations [62][63][64][65][66][67][68][69].…”

mentioning

confidence: 99%