Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering

Abstract

We investigate experimentally parity-time ($\mathcal{P}\mathcal{T}$) symmetric scattering using $LRC$ circuits in an inductively coupled $\mathcal{P}\mathcal{T}$- symmetric pair connected to transmission line leads. In the single-lead case, the $\mathcal{P}\mathcal{T}$-symmetric circuit acts as a simple dual device - an amplifier or an absorber depending on the orientation of the lead. When a second lead is attached, the system exhibits unidirectional transparency for some characteristic frequencies. This non-reciprocal behavior is a consequence of generalized (non-unitary) conservation relations satisfied by the scattering matrix.

5 pages, 4 figures

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• Coherent Perfect Absorbers: Time-reversed Lasers
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• PT-Symmetric Wave Chaos

Cited by in corpus (9)

• Symmetry-protected zero-mode laser with a tunable spatial profile
• PT-symmetric quantum Liouvillian dynamics
• $\mathcal{P}\mathcal{T}$-Symmetry-Induced Wave Confinement and Guiding in Epsilon-Near-Zero Metamaterials
• Jarzynski equality in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics
• Stable localized modes in asymmetric waveguides with gain and loss
• Contrasting Spectral Signatures and Sensitivities of CPA-Lasing in a $\mathcal{P}\mathcal{T}$-Symmetric Periodic Structure
• Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear $\mathcal{P}\mathcal{T}$-symmetric defect
• Discrete solitons in self-defocusing systems with $\mathcal{P}\mathcal{T}$-symmetric defects
• PT-symmetric optical superlattices