Bypassing the bandwidth theorem with PT symmetry

Abstract

The beat time τ_{fpt} associated with the energy transfer between two coupled oscillators is dictated by the bandwidth theorem which sets a lower bound τ_{fpt}\sim 1/δω. We show, both experimentally and theoretically, that two coupled active LRC electrical oscillators with parity-time (PT) symmetry, bypass the lower bound imposed by the bandwidth theorem, reducing the beat time to zero while retaining a real valued spectrum and fixed eigenfrequency difference δω. Our results foster new design strategies which lead to (stable) pseudo-unitary wave evolution, and may allow for ultrafast computation, telecommunication, and signal processing.

5 pages, 3 figures

References in corpus (26)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Complex Extension of Quantum Mechanics
• Ultimate physical limits to computation
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
• Faster than Hermitian Quantum Mechanics
• Quantum Brachistochrone
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Optical realization of relativistic non-Hermitian quantum mechanics
• The Naimark dilated PT-symmetric brachistochrone
• Quantum noise and self-sustained radiation of PT-symmetric systems
• PT-Symmetric Wave Chaos
• Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics
• Projective Hilbert space structures at exceptional points
• Elementary Derivation for Passage Times
• On optimum Hamiltonians for state transformations
• The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
• On Hamiltonians Generating Optimal-Speed Evolutions
• The quantum brachistochrone problem for non-Hermitian Hamiltonians
• Optimal Time Evolution for Hermitian and Non-Hermitian Hamiltonians
• Lower bound of minimal time evolution in quantum mechanics

Cited by in corpus (46)

• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• PT-Symmetric Electronics
• A review of progress in the physics of open quantum systems: theory and experiment
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Mixed-state evolution in the presence of gain and loss
• Experimental realization of Floquet PT-symmetric systems
• PT Symmetric Aubry-Andre Model
• PT-symmetric quantum Liouvillian dynamics
• Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
• Hermitian four-well potential as a realization of a PT-symmetric system
• Consistency of PT-symmetric quantum mechanics
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Time-dependent Hamiltonians with 100% evolution speed efficiency
• Information Geometry of Complex Hamiltonians and Exceptional Points
• Nonlinear PT-symmetric plaquettes
• On the integrability of PT-symmetric dimers
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Experimental simulation of the Parity-Time-symmetric dynamics using photonics qubits
• Tilted optical lattices with defects as realizations of PT symmetry in Bose-Einstein condensates
• Non-self-adjoint hamiltonians defined by Riesz bases
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Tailoring inhomogeneous $\mathcal{P}\mathcal{T}$-symmetric fiber Bragg grating spectra
• Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation
• Observation of two PT transitions in an electric circuit with balanced gain and loss
• Acceleration toward polarization singularity inspired by relativistic ExB drift
• Algebraic maximum violation of the Leggett-Garg inequality in a two-level system under PT symmetric dynamics
• Spectrum and normal modes of non-hermitian quadratic boson operators
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• PT-symmetric sine-Gordon breathers
• Quantum limits on the time-bandwidth product of an optical resonator
• Eigenstates Transition Without Undergoing an Adiabatic Process
• Observation of SQUID-like behavior in fiber laser with intra-cavity epsilon-near-zero effect
• Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
• Parity-Time Synthetic Laser
• Quantum mechanical settings inspired by RLC circuits
• Pseudo-fermions in an electronic loss-gain circuit
• The Effect of non-Hermiticity on Adiabatic Elimination
• Spectral Singularities with Directional Sensitivity
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Multiplication of distributions in a linear gain and loss system
• Discrete solitons dynamics in $\mathcal{P}\mathcal{T}$-symmetric oligomers with complex-valued couplings