Observation of two PT transitions in an electric circuit with balanced gain and loss
arXiv:2004.01362 · doi:10.1140/epjd/e2020-10131-7
Abstract
We investigate PT -symmetry breaking transitions in a dimer comprising two LC oscillators, one with loss and the second with gain. The electric energy of this four-mode model oscillates between the two LC circuits, and between capacitive and inductive energy within each LC circuit. Its dynamics are described by a non-Hermitian, PT -symmetric Hamiltonian with three different phases separated by two exceptional points. We systematically measure the eigenfrequencies of energy dynamics across the three regions as a function of gain-loss strength. In addition to observe the well-studied PT transition for oscillations across the two LC circuits, at higher gain-loss strength, transition within each LC circuit is also observed. With their extraordinary tuning ability, PT -symmetric electronics are ideally suited for classical simulations of non-Hermitian systems
References in corpus (19)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Topological energy transfer in an optomechanical system with exceptional points
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Topolectrical circuits
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Observation of parity-time symmetry breaking in a single spin system
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
- Experimental observation of the dual behavior of -symmetric scattering
- Experimental realization of Floquet PT-symmetric systems
- Bypassing the bandwidth theorem with PT symmetry
- Optical waveguide arrays: quantum effects and PT symmetry breaking
- Origin of maximal symmetry breaking in even PT-symmetric lattices
- Observation of slowly decaying eigenmodes without exceptional points in Floquet, dissipative, synthetic circuits
- Conserved quantities in parity-time symmetric systems
- Floquet Scattering Theory based on Effective Hamiltonians of Driven Systems
- Mapping between Hamiltonians with attractive and repulsive potentials on a lattice
Cited by in corpus (8)
- Activating non-Hermitian skin modes by parity-time symmetry breaking
- Maximal quantum entanglement at exceptional points via unitary and thermal dynamics
- On-demand Parity-Time symmetry in a lone oscillator through complex, synthetic gauge fields
- Parity-time symmetric systems with memory
- Non-Hermiticity in quantum nonlinear optics through symplectic transformations
- Transfer learning from Hermitian to non-Hermitian quantum many-body physics
- Stability of time-periodic and anti--symmetric Hamiltonians with different periodicities
- PT-symmetry enabled stable modes in multi-core fiber