Observation of two ππ£ transitions in an electric circuit with balanced gain and loss
Abstract
We investigate ππ£-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, ππ£-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 ππ£ 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, ππ£-symmetric electronics are ideally suited for classical simulations of non-Hermitian systems.
Contribution to the Topical Issue "Topological Ultracold Atoms and Photonic Systems", edited by G. JuzeliΕ«nas, R. Ma, Y.-J. Lin and T. Calarco.- Publication:
-
European Physical Journal D
- Pub Date:
- August 2020
- DOI:
- 10.1140/epjd/e2020-10131-7
- arXiv:
- arXiv:2004.01362
- Bibcode:
- 2020EPJD...74..167W
- Keywords:
-
- Quantum Physics;
- Physics - Applied Physics
- E-Print:
- Eur. Phys. J. D. 74, 167 (2020)