Rodríguez-Lara Research Group

Some of the group

Welcome to our webpage!

We are an open research community striving for understanding. Our work explores the creation and innovative use of algebraic and numeric methods to study optical systems and develop applications in the classical and quantum regimes.

Mission

Advances in technology are changing society at a fast pace. We believe optics has played, is playing and will play a leading role in the development of future technologies. Therefore, we:

Vision

We envision a world thriving on the use of quantum technologies. In order to help achivieve this, we strive to:

Core Values

As an open research community, the path to our goal is guided by the following principles:

Research

Quantum Optics

Ion-trap simulation schematic

This is our core research subject. We are well-versed in the mathematical modelling and physical description of systems involving the interaction between qubits and quantum fields in closed systems from:

Our current research interest include but is not limited to:


Photonics

Two-waveguide PT-symmetric coupler

We focus on the design of Photonic Integrated Circuits (PIC) using coupled mode theory feasible in diverse experimental platforms. We are interested in the development of

Our corrurent research interest include but is not limited to:


Optical Physics

Half-Bessel wave intensity

This is our least active area at the moment. We have worked in the past on

and we are interested in recruiting volunteers to revive our work in these fields.

People


Researchers

B. M. Rodríguez-Lara

Blas Manuel Rodríguez Lara

bmlara ( at ) inaoep.mx, ( at ) itesm.mx

SNI 1,
Sistema Nacional de Investigadores.

Investigador Titular B,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Profesor de Cátedra,
Departamento de Física,
Tecnológico de Monterrey, campus Monterrey.


Blas earned his Ph. D. and M. Sc. in Optics from INAOE working in Prof. Héctor Moya Cessa Quantum Optics group, M. Sc. in Quantum Physics from KTH, and B. Eng. in Physics Engineering from ITESM. He has conducted postdoctoral research under Prof. Vladimir Buzek at RCQI, Prof. Rocío Jauregui at IF-UNAM, Prof. Ray-Kuang Lee at NTHU, Prof. Dimitris Angelakis at CQT, and Prof. Marcelo P. E. Franca Santos group at UFMG. He now leads a branch off from Prof. Héctor Moya Cessa Quantum Optics group at INAOE Nuevo León.


Catedra 1

We Want You

SNI ,
Sistema Nacional de Investigadores.

Cátedra Jóven Investigador,
Consejo Nacional de Ciencia y Tecnología,

Unidad Nuevo León,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Research interest: Quantum open systems, quantum control.


We are seeking a self -motivated, -aware, -disciplined, and -improving leader in the areas of quantum open systems and quantum control. You will help us improve our connection to experimental quantum electrodynamic realizations. A doctoral degree, postdoctoral experience, and a strong publication record in affine areas, as well as a valid registered profile in the Padrón de Jóvenes Investigadores is required.

Catedra 2

We Want You

SNI ,
Sistema Nacional de Investigadores.

Cátedra Jóven Investigador,
Consejo Nacional de Ciencia y Tecnología,

Unidad Nuevo León,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Research interest: Quantum optomechanics, Rabi physics.


We are seeking a self -motivated, -aware, -disciplined, and -improving leader in the areas of quantum optomechanics or Rabi physics. You will help us improve our understanding in these fields and their connection to experimental realizations. A doctoral degree, postdoctoral experience, and a strong publication record in affine areas, as well as a valid registered profile in the Padrón de Jóvenes Investigadores is required.

Postdocs

Postdoc

We Want You

Postdoctoral researcher,
Consejo Nacional de Ciencia y Tecnología,

Unidad Nuevo León,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Research interest: Quantum optics, photonics.

Initial duration: Six months.
Extension on a yearly basis based on mutual interest and funding availability.


We are seeking a self -motivated, -aware, -disciplined, and -improving aspiring leader in the areas of quantum optics or photonic integrated circuits. You will help carry our research and us improve our connection to experimental quantum electrodynamic realizations. A doctoral degree, postdoctoral experience, and a strong publication record in affine areas, as well as a valid registered profile in the Padrón de Jóvenes Investigadores is required.

Students

Irving

Irving Rondón Ojeda

( at ) inaoep.mx

Ph. D. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Advisor     : Francisco Soto Eguibar.
Co-advisor : Blas Manuel Rodríguez Lara
Topic         : Optical physics.


Delfino

José Delfino Huerta Morales

( at ) inaoep.mx

Ph. D. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Advisor     : Blas Manuel Rodríguez Lara.
Topic         : PT-symmetric photonic integrated circuits.

M. Sc. Graduate, August 2015.
Thesis      : Naive state inversor and qu-trit concurrence,
Advisor     : Blas Manuel Rodríguez Lara.
Program   : Optics graduate program, INAOE PUE.


Christian

Christian Ventura Velázquez

chvv ( at ) inaoep.mx

Ph. D. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Advisor     : Blas Manuel Rodríguez Lara.
Topic         : Quantum optomechanics.

M. Sc. Graduate, August 2015.
Thesis      : Operator approach to quantum optomechanics,
Advisor     : Blas Manuel Rodríguez Lara.
Program   : Optics graduate program, INAOE PUE.


Suren

Suren Chilingaryan

( at ) inaoep.mx

Ph. D. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Advisor     : Marcelo David Iturbe Castillo.
Co-advisor : Blas Manuel Rodríguez Lara
Topic         : Rabi physics.


Alejandro

Alejandro Padrón Godínez

apadron ( at ) inaoep.mx

Ph. D. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Advisor     : Carlos Gerardo Treviño Palacios.
Co-advisor : Blas Manuel Rodríguez Lara
Topic         : PT-symmetric photonic integrated circuits.


Cinthia

Cinthia Huerta Alderete

aldehuer ( at ) inaoep.mx

M. Sc. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.

Advisor     : Blas Manuel Rodríguez Lara
Topic         : Rabi model.


Alumni

Alejandro

Alejandro Zárate Cárdenas

Ph. D. Graduate, August 2014.
Thesis      : Optical simulation of quantum radiation-matter interactions,
Advisor     : Blas Manuel Rodríguez Lara.
Co-advisor: Francisco Soto Eguibar.
Program   : Optics graduate program, INAOE PUE.

Current position:
Postdoctoral researcher,
Instituto de Física,
Universidad Nacional Autónoma de México.


Raul

Raúl Amaury Robles Robles

M. Sc. Graduate, August 2015.
Thesis      : Ground state phase transition in the Dicke-LMG model,
Advisor     : Blas Manuel Rodríguez Lara.
Program   : Optics graduate program, INAOE PUE.

Current position:
Ph. D. Student,
Theoretical Optics Group,
National Tsing Hua University.


Iran

Iran Ramos Prieto

M. Sc. Graduate, August 2014.
Thesis      : Nonlinear photon-added coherent states,
Advisor     : H&eactute;ctor M. Moya Cessa.
Co-advisor: Francisco Soto Eguibar.Blas Manuel Rodríguez Lara.
Program   : Optics graduate program, INAOE PUE.

Current position:
Ph. D. Student,
Coordinación de Óptica,
Instituto Nacional de Astrofísica, Óptica y Electrónica.


Oscar

Oscar Ignacio Zaragoza Gutiérrez

B. Sc. Graduate, May 2016.
Thesis      : All-optical conversion of phase (amplitude) modulation,
Advisor     : Blas Manuel Rodríguez Lara.
Program   : División de Ciencias Básicas, Universidad de Guadalajara.

Current position:
M. Sc. Student,
División de Ciencias Básicas,
Universidad de Guadalajara.



Publication List


Preprints

Cross-cavity quantum Rabi model.

C. Huerta Alderete and B. M. Rodríguez-Lara
Arxiv     

Quantifying momenta through the Fourier transform.

B. M. Rodríguez-Lara
Arxiv     


Books & Book chapters

1.   Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes

B. M. Rodríguez-Lara and R.-K. Lee,
Progress in Optical Science and Photonics: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations in Nonlinear Systems (Springer, Berlin, 2012).
Arxiv      Book      


Journals

43. All-optical PT-symmetric conversion of amplitude (phase) modulation to phase (amplitude) modulation.

O. I. Zaragoza Gutiérrez, L. F. Salinas Mendoza and B. M. Rodríguez-Lara
Opt. Express 24, 3989 - 3998 (2016).
Arxiv     Journal      

42. Optical finite representation of the Lorentz group

B. M. Rodríguez-Lara and J. Guerrero
Opt. Lett. 40, 5682 - 5685(2015).
Arxiv     Journal      

41. Exceptional solutions in two-mode quantum Rabi models.

S. A. Chilingaryan and B. M. Rodríguez-Lara
J. Phys. B: At. Mol. Opt. Phys. 48, 245501(2015).
Arxiv     Journal      

40. Gilmore-Perelomov symmetry based approach to photonic lattices.

L. Villanueva Vergara and B. M. Rodríguez-Lara
Opt. Express 23, 22836 - 22846 (2015).
Arxiv     Journal      

39. An optical analog of quantum optomechanics

B. M. Rodríguez-Lara and H. M. Moya-Cessa
Phys. Scr. 90, 074004 (2015).
Arxiv      Journal

38. Quantum optics as a tool for photonic lattice design

B. M. Rodríguez-Lara, F. Soto-Eguibar and D. N. Christodoulides
Phys. Scr. 90, 068014 (Invited Comment, 2015).
Arxiv      Journal

37. Operator approach to quantum optomechanics

C. Ventura-Velázquez, B. M. Rodríguez-Lara and H. M. Moya-Cessa
Phys. Scr. 90, 068010 (Invited Comment, 2015).
Arxiv      Journal

36. Ultracold two-level atom in a quadratic potential

F. Soto-Eguibar, A. Zúñiga-Segundo, B. M. Rodríguez-Lara and H. M. Moya-Cessa
Optics Comm. 349, 120 - 124 (2015).
Arxiv      Journal

35. Ground state in the finite Dicke model for interacting qubits.

R. A. Robles Robles, S. A. Chilingaryan, B. M. Rodríguez-Lara and R.–K. Lee,
Phys. Rev. A 91 , 033819 (2015).
Arxiv      Journal

34. Engineering nonlinear coherent states as photon-added and photon-subtracted coherent states

I. Ramos Prieto, B. M. Rodríguez-Lara and H. M. Moya-Cessa
Int. J. Quantum Inform. 12, 1560005 (2014).
Arxiv      Journal

33. An intensity-dependent quantum Rabi model: Spectrum, SUSY partner and optical simulation

B. M. Rodríguez-Lara
J. Opt. Soc. Am. B 31, 1719 - 1722 (2014).
Arxiv      Journal      

32. Phase state and related nonlinear coherent states

F. Soto-Eguibar, B. M. Rodríguez-Lara and H. M. Moya-Cessa
J. Opt. Soc. Am. B 31, 1335-1338 (2014).
Arxiv      Journal      

31. Ermakov-Lewis symmetry in photonic lattices

B. M. Rodríguez-Lara, P. Aleahmad, H. M. Moya-cessa and D. N. Christodoulides
Opt. Lett. 39, 2083 - 2085 (2014).
Arxiv      Journal      

30. Propagation of non-classical states of light through one-dimensional photonic lattices

B. M. Rodríguez-Lara
J. Opt. Soc. Am. B 31, 878 - 881(2014).
Arxiv      Journal      

29. Searching for structure beyond parity in the two-qubit Dicke model

B. M. Rodríguez-Lara, S. A. Chilingaryan and H. M. Moya-Cessa
J. Phys. A: Math. Theor. 47, 135306 (2014).
Arxiv      Journal      

28. Optical simulation of Majorana physics

B. M. Rodríguez-Lara and H. M. Moya-Cessa
Phys. Rev. A 89, 015803 (2014).
Arxiv      Journal      

27. A classical simulation of nonlinear Jaynes-Cummings and Rabi models in photonic lattices: reply to comment

B. M. Rodríguez-Lara, F. Soto-Eguibar, A. Zárate Cárdenas, and H. M. Moya-Cessa
Opt. Express 22, 1784-1786 (2014).
Arxiv      Journal      

26. Jacobi photonic lattices and their SUSY partners

A. Zúñiga-Segundo, B. M. Rodríguez-Lara, D. J. Fernández C. and H. M. Moya-Cessa
Opt. Express 22, 987-994 (2014).
Arxiv      Journal      

25. Propagation and perfect transmission in three-waveguide axially varying couplers

B. M. Rodríguez-Lara, H. M. Moya-Cessa and D. N. Christodoulides
Phys. Rev. A 89,013802 (2014).
Arxiv      Journal      

24. Quantum Rabi model for two qubits.

S. Chilingaryan and B. M. Rodríguez-Lara,
J. Phys. A: Math. Theor. 46, 335301 (2013).
Arxiv      Journal      

23. A classical simulation of nonlinear Jaynes-Cummings and Rabi models in photonic lattices.

B. M. Rodríguez-Lara, F. Soto-Eguibar, A. Zárate Cárdenas, and H. M. Moya-Cessa
Opt. Express 21, 12888-12898 (2013).
Arxiv      Journal      

22. Proposal for realization of the Majorana equation in a tabletop experiment

C. Noh, B. M. Rodríguez-Lara and D. G. Angelakis,
Phys. Rev. A 87 040102 (Rapid Communication, 2013).
Arxiv     Journal      

21. The exact solution of generalized Dicke models via Susskind-Glogower operators.

B. M. Rodríguez-Lara and H. M. Moya-Cessa,
J. Phys. A: Math. Theor. 46, 095301 (2013).
Arxiv     Journal      

20. Photon transport in binary photonic lattices.

B. M. Rodríguez-Lara and H. M. Moya-Cessa,
Phys. Scr. 87, 038116 (2013).
Arxiv      Journal      

19. A photonic crystal realization of a phase driven two-level atom.

B. M. Rodríguez-Lara, A. Zárate Cárdenas, F. Soto-Eguibar, and H. M. Moya-Cessa,
Opt. Commun. 292, 87 - 91 (2013).
Arxiv      Journal      

18. Nondiffracting Accelerating Waves: Weber waves and parabolic momentum.

M. A. Bandres and B. M. Rodríguez-Lara,
New J. Phys. 15, 013054 (2013).
Arxiv      Journal      

17. Coherent Quantum Transport in Photonic Lattices.

A. Perez-Leija, R. Keil, A. Kay, H. M. Moya-Cessa, S. Nolte, L.-C. Kwek, B. M. Rodríguez-Lara, A. Szameit, and D. N. Christodoulides,
Phys. Rev. A 87, 012309 (2013).
Arxiv      Journal      

16. Quantum simulation of Cooper pairing with photons.

M. Huo, C. Noh, B. M. Rodríguez-Lara and D. G. Angelakis,
Phys. Rev. A 86, 043840 (2012).
Arxiv      Journal      

15. Quantum simulation of neutrino oscillations with trapped ions.

C. Noh, B. M. Rodríguez-Lara and D. G. Angelakis,
New J. Phys. 14, 033028 (2012).
Selected: Highlights of 2012 Collection.
Arxiv      Journal      

14. Exact dynamics of finite Glauber-Fock photonic lattices.

B. M. Rodríguez-Lara,
Phys. Rev. A 84, 053845 (2011).
Arxiv      Journal      

13. Solution to the Landau-Zener problem via Susskind-Glogower operators.

B. M. Rodríguez-Lara, D. Rodríguez-Méndez and H. Moya-Cessa,
Phys. Lett. A 375, 3770-3774 (2011).
Arxiv      Journal      

12. Classical dynamics of a two-species condensate driven by a quantum field.

B. M. Rodríguez-Lara and R.–K. Lee,
Phys. Rev. E 84, 016225 (2011).
Arxiv      Journal      

11. Chaotic dynamics of thermal atoms in labyrinths created by optical lattices.

R. Pérez-Pascual, B. M. Rodríguez-Lara and R. Jáuregui,
J. Phys. B: At. Mol. Opt. Phys. 44, 035303 (2011).
Arxiv      Journal     

10. Quantum phase transition of nonlinear light in the finite size Dicke Hamiltonian.

B. M. Rodríguez-Lara and R.–K. Lee,
J. Opt. Soc. Am. B 27, 2443-2450 (2010).
Selected: Virtual Journal of Quantum Information 10, Issue 12 (2010)
Selected: Virtual Journal of Atomic Quantum Fluids 2, Issue 12 (2010)
Arxiv      Journal     

 9.  Normalization of Weber waves and Weber-Gauss beams.

B. M. Rodríguez-Lara,
J. Opt. Soc. Am. A 27, 327-332 (2010).
Arxiv      Journal     

 8.  Interference with polarized light: Generation of spatially varying polarization.

B. M. Rodríguez-Lara and I. Ricardez-Vargas,
Am. J. Phys. 77, 1135-1143 (2009).
Arxiv      Journal       Demo 1      Demo 2     

 7.  A single structured light beam as an atomic cloud splitter.

B. M. Rodríguez-Lara and R. Jáuregui,
Phys. Rev. A 80, 011813 (Rapid Communication, 2009).
Arxiv      Journal     

 6.  Dynamical constants of structured photons with parabolic-cylindrical symmetry.

B. M. Rodríguez-Lara and R. Jáuregui,
Phys. Rev. A 79, 055806 (2009).
Arxiv      Journal     

 5.  Dynamical constants for electromagnetic fields in elliptic-cylindrical symmetry.

B. M. Rodríguez-Lara and R. Jáuregui,
Phys. Rev. A 78, 033813 (2008).
Arxiv      Journal      Movie 1      Movie 2     

 4.  An introduction to quantum interferometry: Young's experiment with Fock and coherent states.

Hugo Sanabria and B. M. Rodríguez-Lara,
Rev. Mex. Fis. E 53, 97-105 (2007).
Journal

 3.  Por qué y cómo encontramos funciones de matrices: Entropía en mecánica cuántica.

B. M. Rodríguez-Lara, H. M. Moya-Cessa and S. M. Viana,
Rev. Mex. Fis. E 51, 87-89 (2005).
Journal

 2.  Combining Jaynes–Cummings and anti-Jaynes–Cummings dynamics in a trapped ion system driven by a Laser.

B. M. Rodríguez-Lara, H. M. Moya-Cessa and A. B. Klimov,
Phys. Rev. A 71, 023811 (2005).
Journal     

 1.  Relation between the field quadratures and the characteristic function of a mirror.

B. M. Rodríguez-Lara and H. M. Moya-Cessa,
Rev. Mex. Fis. 50, 213-215 (2004).
Arxiv      Journal     

 

Proceedings

 4.  Optical Lattice Design Assisted by Non-Hermitian Hamiltonians.

B. M. Rodríguez-Lara,
J. Phys. Conf. Series 698, 012018 (2016).
Journal

 3.  Optical Bistability in Cavities with Moving Mirrors.

B. M. Rodríguez-Lara and H. M. Moya-Cessa,
Proceedings of the 8th ICCSSUR, 356 (2004).
Arxiv

 2.  Relation Between the Field Quadratures and the Characteristic Function of a Mirror.

B. M. Rodríguez-Lara and H. M. Moya-Cessa,
Proceedings of the 8th ICCSSUR, 350 (2004).
Arxiv

 1.  Franjas de Maker: Arreglo Experimental para medir Coeficientes No Lineales.

B. M. Rodríguez-Lara and C. G. Treviño Palacios,
II Encuentro Investigación INAOE, 97-99 (2001).

 

Outreach

 2.  Accelerating optical beams.

M.A. Bandres, I. Kaminer, M. S. Mills, E. Greenfield, B. M. Rodríguez-Lara, M. Segev and D. N. Christodoulides,
Optics and Photonic News 24 (6), 31-37 (2013).
Journal     

 1.  Alicia y Beto se comunican: Introducción a la comunicación cuántica.

B. M. Rodríguez-Lara,
Cinvestav Enero-Marzo, 18-23 (2008).
Journal

 

Open Positions

2 Cátedras Jóven Investigador for inaoe nuevo león available through Padrón de Jóvenes Investigadores,
Contact information: bmlara (at) inaoep.mx

1 Postdoc available for inaoe nl pending grant approval,
Contact information: bmlara (at) inaoep.mx

1 fully funded Ph. D. position on Rabi physics, 3-4 yr. inaoe nl, available pending acceptance into INAOE Graduate Program in Optics,
Contact information: bmlara (at) inaoep.mx

4 fully funded M. Sc. positions, 1st yr. inaoe pue – 2nd yr. inaoe nl, available pending acceptance into INAOE Graduate Program in Optics,
Contact information: bmlara (at) inaoep.mx

Contact

bmlara (at) inaoep.mx
bmlara (at) itesm.mx
+52 1 222 266 3100 ext. 1224

Hambrientos Vagabundos

BMLara:  You made it all the way down here and might be wondering why "Hambrientos Vagabundos" (Starving Rovers), so here is the story. The name came out from a good old friend, one time we drove more than 3000km around Mexico with nothing but boiled potatoes, hard eggs, stale bread and some bucks for gas. The name stuck deeply with me as time went by and it became the name of my personal webpage. Now, I am part of a bigger clan of people beginning their own nomadic academic lives. It seemed natural to keep the name and let it become the familiar name of our group.