Macintosh HD:Users:Me:Desktop:BookCostas.jpg

 

Dr Jiannis K. Pachos

Reader in Theoretical Physics

University of Leeds

Macintosh HD:Users:Me:Pictures:image006.png

 

News:

 

1. 16th Symposium Topological Quantum Information

Athens, Greece, 22-23 May 2014

 

2. Centre for Topological Quantum Information

Short and long term visiting positions available

 

3. Book: Introduction to Topological Quantum Computation,

Jiannis K. Pachos, Cambridge University Press

All royalties go to: The Smile of the Child

 

Topological Quantum Information Group (part of QI group)

How to get here

 

Group members:

 

Jiannis K. Pachos (Reader and Director of the Centre for Topological Quantum Information) CV

 

Dr Giandomenico Palumbo (Postdoc)

Dr Peter Finch (Postdoc)

Dr Zoltan Kadar (Postdoc)

James De Lisle (PhD)

Alex Bullivant (PhD)

Konstantinos Meihanetzidis (PhD)

Chris Self (PhD)

 

Previous PhD students:

 

     Abbas Al Shimary (London)

     Ville Lahtinen (Nordita)

     James Wootton (Basel)

     Alastair Kay (Royal Holloway, Singapore)

 Group visitors:

 

Prof Zhenghan Wang (Microsoft Station Q) July 2013

Prof Gavin Brennen (Macquire University, Sydney) July 2013

Mauro Cirio (Sydney) April 2013 to July 2013

Federica Panarotto (Verona) April 2013 to July 2013

 

Sir Michael Atiyah (Edinburgh)

Prof Michael Stone (Urbana-Illinois)

Prof Gavin Brennen (Sydney)

Vaclav Zatloukal (Prague)

Ben Brown (Imperial)

 

 

Some open problems

 

Here are some open questions that are of interest to me. You are welcome to get back to me with ideas or work on them on your own. You are welcome suggest problems that you would like to see on this list.

 

1. Consider the ground state of a two-dimensional system that is stabilized by holonomies corresponding to arbitrary loops on the plane. Which are the mathematical and physical conditions necessary to show that this system is topologically ordered.

 

Selected publications

 

1.    Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions,

Giandomenico Palumbo, Jiannis K. Pachos, to appear in PRL, arXiv:1301.2625.

2.    Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing,

Jiannis K. Pachos, Emilio Alba, Ville Lahtinen, Juan J. Garcia-Ripoll, arXiv:1209.5115.

3.    Seeing topological order in time-of-flight measurements,

E. Alba, X. Fernandez-Gonzalvo, J. Mur-Petit, J. K. Pachos, J. J. Garcia-Ripoll,

Phys. Rev. Lett. 107, 235301 (2011), arXiv:1105.2775.

Editors suggestion, Free to read.

See accompanying Physics Viewpoint

4.    Bringing order through disorder: Localization of errors in topological quantum memories,

James R. Wootton, Jiannis K. Pachos,                                                                              

Phys. Rev. Lett. 107, 030503 (2011) , arXiv:1101.5900

5.    Statistical dynamics of a non-Abelian anyonic quantum walk,

L. Lehman, V. Zatloukal, G. K. Brennen, J. K. Pachos and Z. Wang,

Phys. Rev. Lett. 106, 230404 (2011), arXiv:1009.0813.

6.    Cold atom simulation of interacting relativistic quantum field theories,

J. I. Cirac, P. Maraner, J. K. Pachos,

Phys. Rev. Lett. 105, 190403 (2010), arXiv:1006.2975.

 

Events

 

1.    Physics/Dance performance: Break-in Point, took place on the 7th of June 2012, 12:30 pm at Stage@Leeds

 

2.  Book by Jiannis K. Pachos Introduction to Topological Quantum Computation

 

3.  New Journal of Physics, Focus Issue on Topological Quantum Computation

Co-editors: Jiannis K. Pachos and Steve H. Simon (Oxford). Open for submissions

 

 

Symposia on Topological Quantum Information

 

These symposia take place every few months and typically last for two days. Their purpose is to bring together young scientists (mainly PhD students and Postdocs) interested on topological quantum information promote their recent work and inspire collaborations. Typically, there are a couple of tutorials and some research talks. Anyone can organize these symposia at their institute or university. Participants usually pay for their own expenses. The Leeds Centre for Topological Quantum Information provides some financial assistance. Please email me if you are interested in organizing one.

 

15th Symposium on Topological Quantum Information, Athens, 15 May 2013 Greece.

14th Symposium on Topological Quantum Information, 13th-15th February 2013, Benasque, Spain.

13rd Symposium on Topological Quantum Information, 21st to 22nd of September 2012, Oxford, UK. 

12th Symposium on Topological Quantum Information, 6th to 7th of February 2012, Institute of Physics, Amsterdam, Netherlands.

11th Symposium on Topological Quantum Information, 4th  to 5th of June 2011, NORDITA, Stockholm, Sweden.

Royal Society Kavli Meeting on Topology and Physics, 14th to 17th  of July 2010, Chicheley Hall, UK.

10th Symposium on Topological Quantum Information, 11th to 12th  of April 2010, Leeds, UK.

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 to 13th of April 2008, Leeds, UK.

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

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

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

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

 

Research interests

 

1.    Topological Quantum Computation.

Here is some useful material related to topological quantum computation:

Lectures on Topological Quantum Computation by Jiannis K. Pachos at Steklov Mathematical Institute, Moscow August 2012:

         Lecture 1, Lecture 2

      Recent talk at MIT on cold atom simulations of quantum field theories

      Recent talk at CALTECH & Station Q on topological quantum memories

      PhD thesis of Dr Ville Lahtinen.

      PhD thesis of Dr James Wootton.

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

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

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

Preskill's lecture notes on Topological Quantum Computation.

Manifestations of topological effects in graphene, Jiannis K. Pachos, Contemporary Physics 50, 375-389 (2009)

2. Quantum information and optical lattices

3. Quantum information for many particle and condensed matter systems

4. Geometrical quantum evolutions

 

Lecture Courses

 

Advanced Quantum Mechanics

 

Lecture Notes

Example Set 1, Example Set 2, Example Set 3

Solutions 1, Solutions 2, Solutions 3

 

Maths 3

 

         Lecture notes: notes1, notes2, notes3, notes4

 

         Exercises: Set1, Set2, Set3, Set4, Set5, Set6, Set7, Set8, Set9, Set10, Set11

         Solutions: Set1, Set2, Set3, Set4, Set5, Set6, Set7, Set8, Set9, Set10, Set11

 

         Assignments: Set1, Set2, Set3

         Solutions: Set1, Set2, Set3

        

         Formula sheet

 


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