Non-Hermitian dynamicsphotonic transportThe interaction of a discrete state coupled to a continuum is a longstanding problem of major interest in different areas of quantum and classical physics. In Hermitian models, several dynamical decoupling schemes have been suggested, in which the discrete-...
M. Znojil. Non-Hermitian interaction representation and its use in relativistic quan- tum mechanics. Ann. Physics, 385:162-179, 2017. (P. V. Hai) National University of Singapore, Singapore E-mail address: isepvh@nus.edu.sg (M. Putinar) University of California at Santa Barbara, CA, ...
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We study the influence of particle interaction on a quantum walk on a bipartite one-dimensional lattice with decay from every second site. The corresponding non-interacting (linear) system shows a topological transition described by the average displacement before decay. Here we use this topological ...
In a similar way, we can analyze the system for the other cases of interaction strength. The results are summarized in Fig. 3. This figure indicates that the FQH state observed for nθ = 2 is adiabatically connected to the one for the Hermitian case; Fig. 3(a,b) show that the ...
Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom of a system and the interactions with the external environment. The non-Hermitian framework consists of mathematical structures that...
interaction picture in a non-Hermitian realization is discussed in detail andconsidered for its practical use in many-body quantum physics. The resulting non-Hermitianinteraction-picture (NHIP) description of dynamics, in which both the wave functions andoperators belonging to physical observables ...
By engineering the interaction with the bath and the bath itself, the atomic properties can be influenced in an unprecedented manner. In particular, we find the atomic emission can be suppressed by dissipation in an unusual way; the algebraic scaling with the relevant parameters acquires fractional...
K. Realization of 2D spin-orbit interaction and exotic topological orders in cold atoms. Phys. Rev. Lett. 112, 086401 (2014). Article ADS MATH Google Scholar Song, B. et al. Observation of nodal-line semimetal with ultracold fermions in an optical lattice. Nat. Phys. 15, 911–916 (...
1a. The non-Hermitian phase transition at the interface decouples the real energy interaction of the two semi-lattices and introduces a robust zero-energy bound state, i.e., the reemergence of the topological defect state in spite of uniform topological order in the entire system. In other ...