Quantum-optical implementation of non-Hermitian potentials for asymmetric scattering

Abstract

Non-Hermitian, one-dimensional potentials which are also non-local, allow for scattering asymmetries, namely, asymmetric transmission or reflection responses to the incidence of a particle from left or right. The symmetries of the potential imply selection rules for transmission and reflection. In particular, parity-time (PT) symmetry or the symmetry of any local potential do not allow for asymmetric transmission. We put forward a feasible quantum-optical implementation of non-Hermitian, non-local, non-PT potentials to implement different scattering asymmetries, including transmission asymmetries.

arXiv comment9 pages, 6 figues, 2 tables

References in corpus (24)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Symmetry and Topology in Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Pseudo-Hermitian Representation of Quantum Mechanics
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Experimental implementation of assisted quantum adiabatic passage in a single spin
• Continuous and Pulsed Quantum Zeno Effect
• A measurement-based approach to quantum arrival times
• Reciprocity in quantum, electromagnetic and other wave scattering
• All-real spectra in optical systems with arbitrary gain and loss distributions
• Conditional Hamiltonian and Reset Operator in the Quantum Jump Approach
• Compression of Atomic Phase Space Using an Asymmetric One-Way Barrier
• Statistical Mechanics of an Optical Phase Space Compressor
• Optimal suppression of defect generation during a passage across a quantum critical point
• Improvement by laser quenching of an "atom diode": a one-way barrier for ultra-cold atoms
• Three-dimensional effects in "atom diodes": atom-optical devices for one-way motion
• Asymmetric scattering by non-hermitian potentials
• Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides
• $S$-matrix pole symmetries for non-Hermitian scattering Hamiltonians
• Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution
• Suppression of Rabi oscillations for moving atoms
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness

Cited by in corpus (4)

• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Unitary Scattering Protected by Pseudo-Hermiticity
• Non-Hermitian invisibility in tight-binding lattices
• Existence of the transfer matrix for a class of nonlocal potentials in two dimensions