REVIEW 9 cited by
PT-symmetric quantum mechanics
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one that has a positive-definite spectrum and obeys the requirement of unitarity) must be Hermitian. However, a PT-symmetric Hamiltonian can also define a physically acceptable quantum-mechanical system even if the Hamiltonian is not Hermitian. The study of PT-symmetric quantum systems is a young and extremely active research area in both theoretical and experimental physics. The purpose of this Review is to provide established scientists as well as graduate students with a compact, easy-to-read introduction to this field that will enable them to understand more advanced publications and to begin their own theoretical or experimental research activity. The ideas and techniques of PT symmetry have been applied in the context of many different branches of physics. This Review introduces the concepts of PT symmetry by focusing on elementary one-dimensional PT-symmetric quantum and classical mechanics and relies in particular on oscillator models to illustrate and explain the basic properties of PT-symmetric quantum theory.
Forward citations
Cited by 9 Pith papers
-
How Lorentz boosts reshape relaxation spectra
Under an Onsager-type symmetry, boosted k=0 non-hydrodynamic relaxation rates of a relativistic fluid are bounded by a(1-v)/γ ≤ iω' ≤ b/[γ(1-v)] in terms of rest-frame bounds a,b and boost speed v.
-
The Neutron Electric Dipole Moment from Lattice QCD using a Background Electric Field
Using background electric fields, local topological charge, and non-Hermitian GEVP, lattice QCD yields dn = -0.0050(4)stat(8)sys θ-bar e fm at the physical point.
-
Exact WKB in all sectors II: Potentials with non-degenerate saddles
For generic one-dimensional potentials, the exact spectrum decomposes into as many trans-series sectors as there are distinct local-minimum energy levels, with continuous transitions across barrier tops and discontinu...
-
Local-to-Global Entanglement Dynamics by Periodically Driving Impurities
A local Floquet drive on one bond in a 1D fermion chain produces a sharp entanglement transition at T*=π, from local-quench logarithmic growth to global-heating linear growth.
-
Simulating the non-unitary Yang-Lee conformal field theory on the fuzzy sphere
By tuning a non-Hermitian quantum Hall Hamiltonian on a sphere, the authors obtain a conformal spectrum consistent with the (2+1)-dimensional Yang-Lee CFT and extract conformal data, including one previously unreporte...
-
Non-Hermitian Structure and Exceptional Points in Yang-Mills Theory from Analytic Continuation of Nc
Analytic continuation of Nc in Yang-Mills theory produces non-Hermitian operator spectra with exceptional points, PT-phase transitions, and topological monodromy.
-
Exotic phases in finite-density $\mathbb{Z}_3$ theories
Using approximate renormalization group methods, the authors map phase diagrams of Z3 spin and gauge models and find that only chiral spin models and their duals show an infinite Devil's flower family of inhomogeneous...
-
Quasinormal modes and complexity in saddle-dominated SU(N) spin systems
A family of SU(2) and SU(3) Lipkin-Meshkov-Glick-type Hamiltonians reproduces de Sitter quasinormal-mode densities of states, and late-time probes reveal integrability beneath saddle-dominated scrambling.
-
Template masks for 4D-STEM
A template-to-mask correlation imaging method for 4D-STEM is claimed in the abstract, but the supplied full text is an unrelated hep-th paper, leaving the claim unverifiable.
Discussion (0). Continue with ORCID to comment.