Here we investigate the impact of non-Hermitian perturbations on many-body localization. We focus on the interacting Hatano-Nelson model which breaks unitarity via asymmetric hopping. We explore the phase diagram for the mid-spectrum eigenstates as a function of the interaction strength and the non...
Any undesired couplings between |↑⟩ and |↓⟩ can be compensated by the corresponding non-Hermitian terms. As such, the dark state interacts with the rest of the system only by unidirectional couplings and thus remains stable. This framework can also be used in a many-body system to ...
localizationnon-hermitian quantum mechanics72.15.Rn74.60.GE71.30+hWe recall some basic aspects of the pinning of flux lines in a superconducting cylindrical shell subjected to a depinning magnetic field, as well as its description by the quantum mechanics of a disordered ring with an imaginary ...
We give an example of a many-body dark Hamiltonian in the Supplementary Discussion. A dark Hamiltonian is not required to be Hermitian and its eigenstates need not be pure. We concentrate on this more general and interesting case and show that it may lead to nonstationary and complex long-...
However introducing non-integer values of p renders the quantum version of the Hamiltonian non-Hermitian. To address this, we replace Jzp with |Jz|p, thus preserving Hermiticity in the quantum case. This modification enables us to investigate the kicked top for non-integer exponents. We use ...
In this work, the block Hermitian matrix completion (BHMC) method, a fast non-iteration algorithm to complete the cross-spectral matrix, is proposed to realize the sound source localization of the non-synchronous measurements beamforming. Compared with the conventional beamforming (CBF) method of ...
Moreover, we have investigated two non-hermitian models that were originally introduced to explain localization effects in solid state physics41. The first one, a non-hermitian harmonic oscillator that admits real spectrum was used to demonstrate the Jarzynski equality. The second one, the so ...
Apart from the fundamental impact on band topology, NHSE can strongly influence many other bulk properties such as the dynamics9,16,21,22,23, the parity-time symmetry24,25, and localization26,27. To date, NHSE has been observed in various non-Hermitian one-dimensional (1D) topological ...
Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered ...
Non-Hermitian photonics and topological photonics, as new research fields in optics, have attracted much attention in recent years, accompanying by a great deal of new physical concepts and novel effects emerging. The two fields are gradually crossed during the development process and the non-Hermiti...