Anderson localization without eigenstates in photonic quantum walks
- URL: http://arxiv.org/abs/2304.07713v1
- Date: Sun, 16 Apr 2023 07:36:28 GMT
- Title: Anderson localization without eigenstates in photonic quantum walks
- Authors: Stefano Longhi
- Abstract summary: Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder.
In one-dimensional lattices with off-diagonal disorder Anderson localization can persist for arbitrary time-dependent drivings.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Anderson localization is ubiquitous in wavy systems with strong static and
uncorrelated disorder. The delicate destructive interference underlying
Anderson localization is usually washed out in the presence of temporal
fluctuations or aperiodic drives in the Hamiltonian, leading to delocalization
and restoring transport. However, in one-dimensional lattices with off-diagonal
disorder Anderson localization can persist for arbitrary time-dependent
drivings that do not break a hidden conservation law originating from the
chiral symmetry, leading to the dubbed 'localization without eigenstates'. Here
it is shown that such an intriguing phenomenon can be observed in discrete-time
photonic quantum walks with static disorder applied to the coin operator, and
can be extended to non-Hermitian dynamics as well.
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