42 citations · 63 across the 8 of their papers we have counts for
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Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
Chia-Yi Ju, Adam Miranowicz, Jacob Barnett +2
The equivalence between the Schrödinger and Heisenberg representations is a cornerstone of quantum mechanics. However, this relationship remains unclear in the non-Hermitian regime…
Locality and Exceptional Points in Pseudo-Hermitian Physics
Jacob L. Barnett
Pseudo-Hermitian operators generalize the concept of Hermiticity. This class of operators includes the quasi-Hermitian operators, which reformulate quantum theory while retaining r…
Effects of detuning on -symmetric, tridiagonal, tight-binding models
Jacob L. Barnett, Yogesh N. Joglekar
Non-Hermitian, tight-binding -symmetric models are extensively studied in the literature. Here, we investigate two forms of non-Hermitian Hamiltonians to study the $\…
Observing a Changing Hilbert-Space Inner Product
Salini Karuvade, Abhijeet Alase, Barry C. Sanders
In quantum mechanics, physical states are represented by rays in Hilbert space , which is a vector space imbued by an inner product , whose physica…
Nonlocality of Observables in Quasi-Hermitian Quantum Theory
Jacob Barnett
Explicit construction of local observable algebras in quasi-Hermitian quantum theories is derived in both the tensor product model of locality and in models of free fermions. The l…
Origin of maximal symmetry breaking in even PT-symmetric lattices
Yogesh N. Joglekar, Jacob L. Barnett
By investigating a parity and time-reversal (PT) symmetric, -site lattice with impurities and hopping amplitudes for regions outside (between) the impurity…