13 citations · 29 across the 9 of their papers we have counts for
7 papers · 1 filter
On vector-valued multisymplectic forms
Tatyana Barron, Kai Boisvert, Noah Vale
We obtain a standard local presentation for a vector-valued multisymplectic form on a smooth manifold, generalizing the known proof for polysymplectic forms. We show that vector-va…
Average entropy and asymptotics
Tatyana Barron, Manimugdha Saikia
We determine the asymptotics of the expected value of entanglement entropy in , where and are the spaces of holomorphic se…
Coherent states and entropy
Tatyana Barron, Alexander Kazachek
Let , , be the Hilbert spaces of geometric quantization on a Kähler manifold . With two points in we associate a Bell-type state $b_k \in H_k\otimes…
Entanglement and products
Tatyana Barron, Noah Wheatley
We consider a sequence of quantum states, , associated with a submanifold of product of two integral compact Kähler manifolds. We show that, when is a product submanif…
The twistor space of and Berezin-Toeplitz operators
T. Barron, A. Tomberg
A hyperkähler manifold has a family of induced complex structures indexed by a two-dimensional sphere . The twistor space of is a complex manifold…
Berezin-Toeplitz quantization, hyperkähler manifolds, and multisymplectic manifolds
Tatyana Barron, Baran Serajelahi
We suggest a way to quantize, using Berezin-Toeplitz quantization, a compact hyperkahler manifold (equipped with a natural 3-plectic form), or a compact integral Kahler manifold of…
Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol
Tatyana Barron, Xiaonan Ma, George Marinescu +1
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\cC^k$--\,symbol on a symplectic manifold. We also give a semi-classical estimate of th…