Non-Hermitian Bloch-Zener phase transition
- URL: http://arxiv.org/abs/2211.08003v1
- Date: Tue, 15 Nov 2022 09:30:53 GMT
- Title: Non-Hermitian Bloch-Zener phase transition
- Authors: Stefano Longhi
- Abstract summary: Bloch-Zener oscillations (BZO) are ubiquitous in different areas of wave physics, including photonics.
A discrete-time photonic quantum walk on a synthetic lattice is suggested for an experimental observation of smooth BZO phase transitions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Bloch-Zener oscillations (BZO), i.e. the interplay between Bloch oscillations
and Zener tunneling in two-band lattices under an external dc force, are
ubiquitous in different areas of wave physics, including photonics. While in
Hermitian systems such oscillations are rather generally aperiodic and only
accidentally periodic, in non-Hermitian (NH) lattices BZO can show a transition
from aperiodic to periodic as a NH parameter in the system is varied.
Remarkably, the phase transition can be either smooth or sharp, contrary to
other types of NH phase transitions which are universally sharp. A
discrete-time photonic quantum walk on a synthetic lattice is suggested for an
experimental observation of smooth BZO phase transitions.
Related papers
- Experimental demonstration of spontaneous symmetry breaking with emergent multi-qubit entanglement [10.791982177923412]
Spontaneous symmetry breaking ( SSB) is crucial to the occurrence of phase transitions.
We show that SSB is manifested by the emergence of a multi-qubit cat state, formed by two degenerate symmetry-breaking eigenstates.
The observed nonclassical features go beyond the conventional description of SSB, shedding new light on phase transitions for quantum many-body systems.
arXiv Detail & Related papers (2024-07-17T13:50:29Z) - Entanglement phase transition due to reciprocity breaking without
measurement or post-selection [59.63862802533879]
EPT occurs for a system undergoing purely unitary evolution.
We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
arXiv Detail & Related papers (2023-08-28T14:28:59Z) - Phase transitions in non-Hermitian superlattices [0.0]
We investigate the energy spectral phase transitions arising in one-dimensional superlattices under an imaginary gauge field.
It is shown that in models displaying nearly flat bands a smooth phase transition, from quasi entirely real to complex energies, can be observed as the imaginary gauge field is increased.
arXiv Detail & Related papers (2023-04-16T06:08:38Z) - Complex Berry phase and imperfect non-Hermitian phase transitions [6.816938564119971]
spectral phase transitions from an entirely real energy spectrum to a complex spectrum can be observed in classical and quantum systems.
When the system is slowly and periodically cycled, the phase transition can become smooth, i.e. imperfect.
This is illustrated by considering the spectral phase transition of the Wannier-Stark ladders in a PT-symmetric class of two-band non-Hermitian lattices.
arXiv Detail & Related papers (2023-02-04T06:58:31Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Continuous phase transition induced by non-Hermiticity in the quantum
contact process model [44.58985907089892]
How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear.
We show that there is a continuous phase transition induced by the non-hermiticity in QCP.
We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
arXiv Detail & Related papers (2022-09-22T01:11:28Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Non-Hermitian topological phase transitions in superlattices and the
optical Dirac equation [0.0]
Optical superlattices with sublattice symmetry subjected to a synthetic imaginary gauge field undergo a topological phase transition in the Bloch energy spectrum.
A simple photonic system displaying such a phase transition is discussed, which is based on light coupling in co-propagating gratings.
arXiv Detail & Related papers (2021-09-03T05:50:54Z) - Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic
quantum walk [52.77024349608834]
We realize a photonic quantum walk in the presence of a synthetic gauge field.
We investigate intriguing system dynamics characterized by the interplay between Bloch oscillations and Landau-Zener transitions.
arXiv Detail & Related papers (2020-11-11T16:35:41Z) - Observation of a non-Hermitian phase transition in an optical quantum
gas [0.0]
Quantum gases of light, as photons or polariton condensates in optical microcavities, are collective quantum systems.
We experimentally demonstrate a non-Hermitian phase transition of a photon Bose-Einstein condensate to a new dissipative phase.
arXiv Detail & Related papers (2020-10-29T17:59:10Z) - Bulk detection of time-dependent topological transitions in quenched
chiral models [48.7576911714538]
We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction.
This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
arXiv Detail & Related papers (2020-01-16T17:44:52Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.