A non-Hermitian Hamilton operator and the physics of open quantum systems

By I. Rotter. 2009

782 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/76fcfb47759ebf7412d3e0447dedbd3808b51a5b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Whispering gallery mode sensors (2015, positive): “Within a two-mode approximation and considering a disc resonator for simplicity it can then be shown that the effective Hamiltonian takes the form [215]”
Edge States and Topological Invariants of Non-Hermitian Systems. (2018, neutral): “[8] Ingrid Rotter, “A non-hermitian hamilton operator and the physics of open quantum systems,” Journal of Physics A: Mathematical and Theoretical 42, 153001 (2009).”
The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization (2015, background): “6(a) the absolute value of phase rigidity [2], defined as rj 1⁄4 h ~ φj j ~ φj i−1 for each state j as a function of ΔΓ for the point P2 in the phase diagram.”
Perspective on topological states of non-Hermitian lattices (2019, background): “Many authors (see [23, 24] and references therein) have pointed out that from a non-Hermitian perspective, the imaginary part”
A review on non-Hermitian skin effect (2022, background): “It has been shown that nonHermitian considerations not only provide suitable descriptions to the open systems but also bring novel physics and unprecedented phenomena and applications, as found in a variety of physical realms including open quantum systems [4], electronic systems with interactions [”
Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points (2017, background): “tensively been discussed in the context of PT-invariant alternatives to Hermitian quantum mechanics [42], non-Hermitian Hamiltonians arise naturally either in the context of open quantum systems [43], systems with gain and loss (as in photonics [44]) or because of the finite lifetime introduced by i”
Loss-induced suppression and revival of lasing (2014, neutral): “es a departure from conventionaof this situation l Hermitian models with real eigenvalues and orthogonal eigenstates to Hermitian models nonfeaturing complex eigenvalues and nonorthogonal eigenstates (1,2,3). When tuning the parameters of such a system, its dissipative complex eigenvalues and the co”
Leaking chaotic systems (2012, neutral): “…and sound waves); (Fyodorov et al., 2005) uses a formalism based on correlation and distribution functions that goes beyond random matrices; (Rotter, 2009) uses a Feshbach projection operator formalism to non-Hermitian Hamiltonian operators; (Nonnenmacher, 2011) reviews the mathematical…”
Dynamically encircling an exceptional point for asymmetric mode switching (2016, background): “( ) V x y , , which leaves the validity of equations (3) and (4) intact.”
Symmetry-protected nodal phases in non-Hermitian systems (2018, neutral): “[52] I.”