2.5k citations · 2.8k across the 11 of their papers we have counts for
12 papers
Effects of quenching protocols based on parametric oscillators
Mariagiovanna Gianfreda, Giulio Landolfi
We consider the problem of understanding the basic features displayed by quantum systems described by parametric oscillators whose time-dependent frequency parameter varies…
Scattering off PT-symmetric upside-down potentials
Carl M. Bender, Mariagiovanna Gianfreda
The upside-down , , and potentials with appropriate PT-symmetric boundary conditions have real, positive, and discrete quantum-mechanical spectra. This paper pro…
PT-Symmetric Model of Immune Response
Carl M. Bender, Ananya Ghatak, Mariagiovanna Gianfreda
The study of PT-symmetric physical systems began in 1998 as a complex generalization of conventional quantum mechanics, but beginning in 2007 experiments began to be published in w…
Non-autonomous Hamiltonian quantum systems, operator equations and representations of Bender-Dunne Weyl ordered basis under time-dependent canonical transformations
Mariagiovanna Gianfreda, Giulio Landolfi
We address the problem of integrating operator equations concomitant with the dynamics of non autonomous quantum systems by taking advantage of the use of time-dependent canonical…
Time-independent Hamiltonian for any linear constant-coefficient evolution equation
Carl M. Bender, Mariagiovanna Gianfreda, Nima Hassanpour +1
It is shown how to construct a time-independent Hamiltonian having only one degree of freedom from which an arbitrary linear constant-coefficient evolution equation of any order ca…
Bound states, scattering states and resonant states in PT-symmetric open quantum systems
Savannah Garmon, Mariagiovanna Gianfreda, Naomichi Hatano
We study a simple open quantum system with a PT-symmetric defect potential as a prototype to illustrate general features of PT-symmetric open quantum systems; however, the potentia…
PT-symmetric interpretation of the electromagnetic self-force
Carl M. Bender, Mariagiovanna Gianfreda
In 1980 Englert examined the classic problem of the electromagnetic self-force on an oscillating charged particle. His approach, which was based on an earlier idea of Bateman, was…
Systems of coupled PT-symmetric oscillators
Carl M. Bender, Mariagiovanna Gianfreda, S. P. Klevansky
The Hamiltonian for a PT-symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter is uniform for all oscillators, then as the number o…
An exactly solvable -symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss
I V Barashenkov, Mariagiovanna Gianfreda
We show that a pair of coupled nonlinear oscillators, of which one oscillator has positive and the other one negative damping of equal rate, can form a Hamiltonian system. Small-am…
Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
Bo Peng, Sahin Kaya Ozdemir, Fuchuan Lei +7
Optical systems combining balanced loss and gain profiles provide a unique platform to implement classical analogues of quantum systems described by non-Hermitian parity-time- (PT-…
Twofold Transition in PT-Symmetric Coupled Oscillators
Carl M. Bender, Mariagiovanna Gianfreda
The inspiration for this theoretical paper comes from recent experiments on a PT-symmetric system of two coupled optical whispering galleries (optical resonators). The optical syst…
Nonuniqueness of the C operator in PT-symmetric quantum mechanics
Carl M. Bender, Mariagiovanna Gianfreda
The C operator in PT-symmetric quantum mechanics satisfies a system of three simultaneous algebraic operator equations, , , and . These equations are diff…