J.David Vergara

Time-dependent quantum geometric tensor and some applications

#1

(Feb 3, 2025)

e-Print:
- 2502.01788 [quant-ph]

pdf

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N-bein formalism for the parameter space of quantum geometry

#2

Jorge Romero
(
- Mexico U., ICN
)
,
Carlos A. Velasquez
(
- Mexico U., ICN
)
,
J. David Vergara
(
- Mexico U., ICN
)

(Jun 27, 2024)

Published in:
- J.Phys.A 57 (2024) 37, 375301
•
e-Print:
- 2406.19468 [quant-ph]

DOI

reference search2 citations

Quantum geometry of the parameter space: a proposal for curved systems

#3

(Mar 14, 2024)

e-Print:
- 2403.09804 [quant-ph]

pdf

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Parameter space geometry of the quartic oscillator and the double-well potential: classical and quantum description

#4

(Aug 22, 2023)

Published in:
- Phys.Scripta 99 (2024) 2, 025247
•
e-Print:
- 2308.11848 [quant-ph]

DOI

reference search2 citations

Generalized quantum geometric tensor for excited states using the path integral approach

#5

(May 19, 2023)

Published in:
- Phys.Scripta 98 (2023) 9, 095106,
- Phys.Scripta 98 (2023) 095106
•
e-Print:
- 2305.11525 [quant-ph]

DOI

reference search4 citations

Classical analogs of generalized purities, entropies, and logarithmic negativity

#6

(May 4, 2023)

Published in:
- Phys.Rev.A 108 (2023) 1, 012411
•
e-Print:
- 2305.02887 [quant-ph]

pdfDOI

reference search5 citations

The Quantum Geometric Tensor in a Parameter-Dependent Curved Space

#7

(Sep 2, 2022)

Published in:
- Entropy 24 (2022) 9, 1236,
- Entropy 24 (2022) 1236
•
e-Print:
- 2209.07728 [quant-ph]

DOI

reference search3 citations

Quantum metric tensor of the Dicke model: Analytical and numerical study

#8

(Jun 1, 2022)

Published in:
- Phys.Rev.B 105 (2022) 21, 214106

DOI

reference search4 citations

Classical analogs of the covariance matrix, purity, linear entropy, and von Neumann entropy

#9

Bogar Díaz
(
- UC3M - Dept. Math., Madrid and
- Madrid, Inst. Estructura Materia
)
,
Diego González
(
- Mexico U., ICN
)
,
Daniel Gutiérrez-Ruiz
(
- Mexico U., ICN
)
,
J. David Vergara
(
- Mexico U., ICN
)

(Dec 20, 2021)

Published in:
- Phys.Rev.A 105 (2022) 6, 062412
•
e-Print:
- 2112.10899 [quant-ph]

pdfDOI

reference search10 citations

Classical description of the parameter space geometry in the Dicke and Lipkin-Meshkov-Glick models

#10

(Jul 12, 2021)

Published in:
- Phys.Rev.E 104 (2021) 1, 014113

DOI

reference search5 citations

Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model

#11

Daniel Gutiérrez-Ruiz
(
- Mexico U., ICN
)
,
Diego Gonzalez
(
- Mexico U., ICN and
- CINVESTAV, IPN
)
,
Jorge Chávez-Carlos
(
- UNAM, CCF
)
,
Jorge G. Hirsch
(
- Mexico U., ICN
)
,
J. David Vergara
(
- Mexico U., ICN
)

(May 11, 2021)

Published in:
- Phys.Rev.B 103 (2021) 17, 174104
•
e-Print:
- 2105.11551 [quant-ph]

pdfDOI

reference search18 citations

Phase space formulation of the Abelian and non-Abelian quantum geometric tensor

#12

Diego Gonzalez
(
- Mexico U. and
- CINVESTAV, IPN
)
,
Daniel Gutiérrez-Ruiz
(
- Mexico U.
)
,
J. David Vergara
(
- Mexico U.
)

(Nov 25, 2020)

Published in:
- J.Phys.A 53 (2020) 50, 505305
•
e-Print:
- 2011.14310 [quant-ph]

pdfDOI

reference search10 citations

From complex holomorphic systems to real systems

#13

(May 26, 2020)

Published in:
- Int.J.Mod.Phys.A 35 (2020) 13, 2050065

DOI

reference search1 citation

Geometry of the Parameter Space of a Quantum System: Classical Point of View

#14

(Sep 12, 2019)

Published in:
- Annalen Phys. 532 (2020) 2, 1900215
•
e-Print:
- 1909.05925 [quant-ph]

pdfDOI

reference search9 citations

Reestablishment of SO(4) symmetry in the relativistic Coulomb problem from

\mathcal N =4

SYM

#15

J. Alvarez-Jimenez
(
- Mexico U., ICN
)
,
I. Cortese
(
- Mexico U., ICN
)
,
J.A. García
(
- Mexico U., ICN
)
,
D. Gutiérrez-Ruiz
(
- Mexico U., ICN
)
,
J.D. Vergara
(
- Mexico U., ICN
)

(Apr 24, 2019)

Published in:
- J.Phys.Conf.Ser. 1194 (2019) 1, 012057
•
Contribution to:
- GROUP 32

pdfDOI

reference search0 citations

The quantum geometric tensor from generating functions

#16

(Mar 22, 2019)

Published in:
- Int.J.Quant.Inf. 17 (2019) 02, 1950017

DOI

reference search6 citations

Classical analog of the quantum metric tensor

#17

Diego Gonzalez
(
- Mexico U., ICN
)
,
Daniel Gutiérrez-Ruiz
(
- Mexico U., ICN
)
,
J. David Vergara
(
- Mexico U., ICN
)

(Nov 22, 2018)

Published in:
- Phys.Rev.E 99 (2019) 3, 032144
•
e-Print:
- 1811.09259 [quant-ph]

pdfDOI

reference search14 citations

Relativistic Runge-Lenz vector: from

\mathcal{N}=4

SYM to SO(4) scalar field theory

#18

J. Alvarez-Jimenez
(
- Mexico U., ICN
)
,
I. Cortese
(
- Mexico U., ICN
)
,
J. Antonio García
(
- Mexico U., ICN
)
,
D. Gutiérrez-Ruiz
(
- Mexico U., ICN
)
,
J. David Vergara
(
- Mexico U., ICN
)

(May 30, 2018)

Published in:
- JHEP 10 (2018) 153
•
e-Print:
- 1805.12165 [hep-th]

DOI

reference search8 citations

Noncommutative Riemannian geometry from quantum spacetime generated by twisted Poincaré group

#19

Cesar A. Aguillón
(
- Mexico U., ICN
)
,
Albert Much
(
- Mexico U., ICN and
- UNAM, Morelia, CCM
)
,
Marcos Rosenbaum
(
- Mexico U., ICN
)
,
J.David Vergara
(
- Mexico U., ICN
)

(Nov, 2017)

Published in:
- J.Math.Phys. 58 (2017) 11, 112301

DOI

reference search2 citations

Gravity from Quantum Spacetime by Twisted Deformation of the Quantum Poincaré Group

#20

Cesar A. Aguillón
(
- Mexico U., ICN
)
,
Albert Much
(
- Mexico U., ICN and
- UNAM, Morelia, CCM
)
,
Marcos Rosenbaum
(
- Mexico U., ICN
)
,
J. David Vergara
(
- Mexico U., ICN
)

(May 24, 2017)

e-Print:
- 1705.08959 [math-ph]

pdf

reference search0 citations

Einstein Equations for a Noncommutative Spacetime of Lie-Algebraic Type

#21

Albert Much
(
- UNAM, Morelia, CCM
)
,
Marcos Rosenbaum
(
- Mexico U., ICN
)
,
José David Vergara
(
- Mexico U., ICN
)
,
Diego Vidal-Cruzprieto
(
- Mexico U., ICN
)

(May 9, 2017)

e-Print:
- 1705.03499 [math-ph]

pdf

reference search1 citation

A Poincaré covariant noncommutative spacetime

#22

Albert Much
(
- UNAM, Morelia, CCM
)
,
José David Vergara
(
- Mexico U., ICN
)

(Apr 25, 2017)

Published in:
- Int.J.Geom.Meth.Mod.Phys. 15 (2018) 09, 1850159
•
e-Print:
- 1704.07932 [math-ph]

pdfDOI

reference search3 citations

Gauge Freedom in complex holomorphic systems

#23

Carlos A. Margalli
(
- Mexico U., ICN
)
,
J.David Vergara
(
- Mexico U., ICN
)

(Feb 15, 2017)

e-Print:
- 1702.04754 [hep-th]

pdf

reference search0 citations

Quantum Information Metric and Berry Curvature from a Lagrangian Approach

#24

Javier Alvarez-Jimenez
(
- Mexico U., ICN
)
,
Aldo Dector
(
- Madrid, IFT
)
,
J.David Vergara
(
- Mexico U., ICN
)

(Jan 31, 2017)

Published in:
- JHEP 03 (2017) 044
•
e-Print:
- 1702.00058 [hep-th]

DOI

reference search22 citations

Dirac’s Formalism for Time-Dependent Hamiltonian Systems in the Extended Phase Space

#25

(Jan 24, 2017)

Published in:
- Universe 7 (2021) 4, 109
•
e-Print:
- 1701.07120 [math-ph]

DOI

reference search6 citations

J.David Vergara(
Mexico U., CEN
)

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J.David Vergara(Mexico U., CEN)

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J.David Vergara(
Mexico U., CEN
)