Bosonic and fermionic Gaussian states from Kähler structures

Bosonic and fermionic Gaussian states from Kähler structures - arXiv

We show that bosonic and fermionic Gaussian states (also known as "squeezed coherent states") can be uniquely characterized by their linear complex structure J.

This extends conventional Gaussian methods based on covariance matrices and provides a unified framework to treat bosons and fermions ...

Bosonic and fermionic Gaussian states from Kähler structures

Pure Gaussian states can be identified with the triple (G,Ω, J) of compatible Kähler structures, consisting of a positive definite metric G, a symplectic form Ω ...

Bosonic and Fermionic Gaussian States from Kähler Structures

This extends conventional Gaussian methods based on covariance matrices and provides a unified framework to treat bosons and fermions simultaneously. Pure ...

Bosonic and fermionic Gaussian states from Kähler structures

We show that bosonic and fermionic Gaussian states (also known as "squeezed coherent states") can be uniquely characterized by their linear ...

Bosonic and fermionic Gaussian states from Kähler structures

Abstract. We show that bosonic and fermionic Gaussian states (also known as “squeezed coherent states”) can be uniquely characterized by their linear complex ...

Bosonic and fermionic Gaussian states from Kähler structures

This extends conventional Gaussian methods based on covariance matrices and provides a unified framework to treat bosons and fermions simultaneously. Pure ...

[PDF] Bosonic and fermionic Gaussian states from Kähler structures

We show that bosonic and fermionic Gaussian states (also known as ``squeezed coherent states'') can be uniquely characterized by their linear complex ...

Bosonic and fermionic Gaussian states from Kähler structures - QISS

Bosonic and fermionic Gaussian states from Kähler structures. / Papers QISS1 / By Qiss. Lucas Hackl, Eugenio Bianchi. IGC at IGC at PennState. Preprint ...

Lucas Fabian Hackl's articles on arXiv

Title: Bosonic and fermionic Gaussian states from Kähler structures. Authors: Lucas Hackl, Eugenio Bianchi. Comments: 36+4 pages, 2 figures, 5 tables. Journal ...

Theory Past Seminar

Bosonic and fermionic Gaussian states from Kähler structures. Speaker, : Lucas Hackl , University of Melbourne. Date, : November 20, 2020. Time, : 3:30 PM.

Applications. This table summarizes and compares our methods to...

This table summarizes and compares our methods to computed properties of bosonic and fermionic Gaussian states using Kähler structures covered in section 4.

Gaussian quantum systems and Kahler geometrical structure

Keywords: Wigner function, Fock space, Kahler space, photon, boson, fermion, Gaussian state, Maxwell equations. Abstract. In this article, we ...

Gaussian Quantum Systems and Kahler Geometrical Structure ( )

Keywords: - Systems Theory, Wigner function, Fock space, Kahler space, photon, boson, fermion, Gaussian state, Maxwell equations. Received: May ...

Aspects of Gaussian States: Entanglement, Squeezing and Complexity

... bosonic and fermionic states in systems with finitely and infinitely many degrees of freedom. Our approach is based on the triplet of Kaehler structures ...

View of Gaussian quantum systems and Kahler geometrical structure

Gaussian Wigner representation, to unify the description of bosonic and fermionic quantum states, we study the structure of. the Kahler space geometry as the ...

(PDF) Gaussian Quantum Systems and Kahler Geometrical Structure

... bosonic and fermionic states with the. Wigner function in the Gaussian form. Bosons and fermions can be described by a. vector.. ,xp.

arXiv:2103.09657v1 [quant-ph] 17 Mar 2021 - MPG.PuRe

II, we review the unified Kähler structure formalism to describe bosonic and fermionic Gaussian states and apply it to supersymmet- ric ...

Gaussian States | PDF | Quantum Field Theory - Scribd

It develops mathematical methods to describe bosonic and fermionic states with finite and infinite degrees of freedom based on Kähler structures. The ...

Quantum Variational Methods for Gaussian States and Beyond

systems made up of bosonic or fermionic modes. We will also see that many of ... Bianchi, “Bosonic and fermionic Gaussian states from Kähler structures ...