Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields

Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields

We study purely magnetic Schrödinger operators in two-dimensions (x, y) with magnetic fields b(x) that depend only on the x-coordinate. The magnetic field b(x) is assumed to be bounded, there are constants 0 < b− < b+ < ∞ so that b− 6 b(x) 6 b+, and outside of a strip of small width − < x < , where 0 < < b − , we have b(x) = b±x for ±x > . The case of a jump in the magnetic field at x = 0 corre...

A Novel Hybrid-Excited Modular Variable Reluctance Motor for Electric Vehicle Applications: Analysis, Comparison, and Implementation

A variable reluctance machine (VRM) has been proven to be an outstanding candidate for electric vehicle (EV) applications. This paper introduces a new double-stator, 12/14/12-pole three-phase hybrid-excited modular variable reluctance machine (MVRM) for EV applications. In order to demonstrate the superiorities of the proposed structure, the static torque characteristics and dynamic performance...

Entanglement and Ground States of Gapped Hamiltonians

Coherent States for Isospectral Hamiltonians

We show that for the strictly isospectral Hamiltonians, the corresponding coherent states are related by a unitary transformation. As an illustration, we discuss, the example of strictly isospectral one-dimensional harmonic oscillator Hamiltonians and the associated coherent states. PACS number(s) : 03.65.Fd, 02.30.+b Electronic Address : [email protected] Electronic Address : [email protected]...

Emergent Spacetime from Modular Motives

The program of constructing spacetime geometry from string theoretic modular forms is extended to Calabi-Yau varieties of dimensions two, three, and four, as well as higher rank motives. Modular forms on the worldsheet can be constructed from the geometry of spacetime by computing the L-functions associated to omega motives of Calabi-Yau varieties, generated by their holomorphic n−forms via Gal...