Dr Jiannis K. Pachos

University Research Fellow of the Royal Society

University of Leeds, School of Physics and Astronomy


News:

1. The article Revealing anyonic features in a toric code quantum simulation by J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner and H. Weinfurter has been selected for inclusion in IOP Select.

 

 

 

2. Nanotechweb.org has a news update dedicated to the article -junction qubit in monolayer graphene by Colin Benjamin and Jiannis K. Pachos.


New events:

Symposium on Topological Quantum Information

11th and 12th of April 2010

University of Leeds

Contact: Jiannis K. Pachos


Topological Quantum Information Group (part of QI group)

How to get here

Group members:

·        Jiannis K. Pachos (Lecturer)

·        James Wootton (PhD)

·        Ville Lahtinen (PhD)

·        Abbas Al Shimary (PhD)

 

Previous group members:

·        Colin Benjamin (Postdoc)

 

Visitors:

·        Sir Michael Atiyah (Edinburgh)

·        Prof Michael Stone (Urbana-Illinois)

·        Prof Gavin Brennen (Sydney)

·        Dr Sofyan Iblisdir (Barcelona)

·        Dr Alastair Kay (Cambridge)

·        Dr Dimitris Tsomokos (Royal Holloway)


Events

9th Symposium on Topological Quantum Information, 11th to 12th of January 2010, Sydney, Australia.

8th Symposium on Topological Quantum Information, 29th to 31st of August 2009, Zurich, Switzerland.

7th Symposium on Topological Quantum Information, 30th of March to 1st of April 2009, Paris, France.

6th Symposium on Topological Quantum Information, 15th to 17th of September 2008, Dublin, Ireland.

5th Symposium on Topological Quantum Information, 12th and 13th of April 2008, Leeds, UK.

4th Mini-Symposium on Topological Quantum Information, 10th and 11th of December 2007, Ringberg Castle, Germany.

3rd Mini-Symposium on Topological Quantum Information, 29th and 30th of June 2007, IQOQI Innsbruck, Austria.

2nd Mini-Symposium on Topological Quantum Information, 6th and 7th of January 2007, Maynooth, Ireland.

1st Mini-Symposium on Topological Quantum Information, 29th and 30th of August, 2006, Cambridge, UK.


Research interests

1. Topological Quantum Computation

Here is some useful material related to topological quantum computation:

·         Introduction to Topological Quantum Computation, by Jiannis K. Pachos. Based on lectures given at QIP 2010, ETH,  Zurich.

·         Review article Anyons, Quantum Double Symmetry and Topological Quantum Computation, by Ville Lahtinen.

·         Notes on The Toric Code and the Quantum Double, by Ville Lahtinen.

·         Kitaev's talk on the Honeycomb lattice model (with audio and webcam).

·         Pachos’s talk on The wave function of an anyon (with audio and webcam).

·         Preskill's lecture notes on Topological Quantum Computation.

 

2. Quantum information and optical lattices

3. Quantum information for many particle and condensed matter systems

4. Geometrical quantum evolutions


Recent publications

1.     Non-Abelian braid statistics as a holonomy in an exactly solvable lattice model, V. Lahtinen and J. K. Pachos, arXiv:0901.3674.

2.     Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks, P. Maraner and J. K. Pachos, arXiv:0901.2648.

3.     Thermal States of Anyonic Systems, S. Iblisdir, D. Perez-Garcia, M. Aguado and J. K. Pachos, arXiv:0812.4975.

4.     Manifestations of topological effects in graphene, J. K. Pachos, arXiv:0812.1116, to appear in Contemporary Physics.

5.     Centrifugal deformations of the gravitational kink, P. Maraner and J. K. Pachos, arXiv:0812.0068.

6.     Non-locality of non-Abelian anyons, G. K. Brennen, S. Iblisdir, J. K. Pachos and J. K. Slingerland, arXiv:0810.4319.

7.     Graphene Josephson Qubit, C. Benjamin and J. K. Pachos, arXiv:0808.1979.

8.     Yang-Mills gauge theories from fermionic lattice models, P. Maraner and J. K. Pachos, arXiv:0807.0826.

9.      Scaling law for topologically ordered systems at finite temperature, S. Iblisdir, D. Perez-Garcia, M. Aguado and J. K. Pachos, arXiv:0806.1853.

10.  Topological degeneracy and vortex dynamics in the Kitaev honeycomb model, G. Kells, A. T. Bolukbasi, V. Lahtinen, J. Slingerland, J. K. Pachos and J. Vala, Phys. Rev. Lett. 101, 240404 (2008), arXiv:0804.2753.

11. Emergence of non-abelian statistics from an abelian model, J. R. Wootton, V. Lahtinen, Z. Wang and J. K. Pachos, Phys. Rev. B 78, 161102(R) (2008), arXiv:0804.0931. See talk here.

12. One dimensional stable probability density functions for rational index 0<α≤ 2, A. Hatzinikitas and J. K. Pachos, , Annals of Physics, 323, 3000 (2008), arXiv:0803.3973.

13. Detecting entangled states in graphene via crossed Andreev reflection, C. Benjamin and J. K. Pachos, to appear in Phys. Rev. B. arXiv:0802.3181.

14. Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model, V. Lahtinen, G. Kells, A. Carollo, T. Stitt, J. Vala and J. K. Pachos, Annals of Physics, 323, 2286 (2008), arXiv:0712.1164.

15. Revealing anyonic statistics with multiphoton entanglement, J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner and H. Weinfurter, arXiv:0710.0895.

16. Graphene with geometrically induced vorticity, J. K. Pachos, M. Stone, K. Temme, Phys. Rev. Lett. 100, 156806 (2008), arXiv:0710.0858.

17. Chiral entanglement in triangular lattice models, D. I. Tsomokos, J. J. Garcia-Ripoll, N. R. Cooper, J. K. Pachos, Phys. Rev. A 77, 012106 (2008), arXiv:0706.3612.

18. Why should anyone care about computing with anyons?, G. K. Brennen and J. K. Pachos, Proc. R. Soc. A 10.1098/rspa.2007.0026 (2007), arXiv:0704.2241.

19. Universal Features of Dimensional Reduction Schemes from General Covariance Breaking, P. Maraner and J. K. Pachos, Annals of Physics 323, 2044 (2008), arXiv:0704.2076.

20.  Zero modes of various graphene configurations from the index theorem, J. K. Pachos, A. Hatzinikitas and M. Stone, Eur. Phys. J., Special Topics, 148, 127 (2007), quant-ph/0701203.


Lecture Course

Advanced Quantum Mechanics

 

·        Lecture Notes

·        Example Set 1, Example Set 2, Example Set 3

 


Contact Information

 Address

Room 9.71

School of Physics and Astronomy
University of Leeds
Leeds, LS2 9JT
United Kingdom

 Telephone

+44 113 343 3817

 Facsimile

+44 113 343 3900

 Email

j.k.pachos_at_leeds.ac.uk