Publications and other works of Dr. Benjamin Doyon

Book edition

P. Calabrese, J. Cardy and BD (Eds.), Entanglement entropy in extended quantum systems, J. Phys A 42, 500301 (2009) (special issue).

Articles / lecture notes / proceedings published or at press
36
BD, Random loops and conformal field theory, J. Stat. Mech. (2014) P02015, preprint arXiv:1402.2432 (25 pages).
35
Olalla Castro-Alvaredo, Yixiong Chen, BD and Marianne Hoogeveen, Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT, to appear in J. Stat. Mech., preprint arXiv:1310.4779 (57 pages).
34
D. Bernard and BD, Non-equilibrium steady states in conformal field theory, to appear in Ann. Henri Poincaré (available online), preprint arXiv:1302.3125 (41 pages).
33
BD, M. Hoogeveen and D. Bernard, Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs, to appear in J. Stat. Mech, preprint arXiv:1306.3192 (25 pages).
32
A. De Luca, J. Viti, D. Bernard and BD, Non-equilibrium thermal transport in the quantum Ising chain, Phys. Rev. B 88, 134301 (2013), preprint arXiv:1305.4984 (7 pages).
31
E. Levi, O. A. Castro-Alvaredo and BD, Universal corrections to the entanglement entropy in gapped quantum spin chains: a numerical study, Phys. Rev. B 88, 094439 (2013), preprint arXiv:1304.6874 (5 pages).
30
BD, Hypotrochoids in conformal restriction systems and Virasoro descendants, J. Stat. Mech. (2013) P09008, preprint arXiv:1209.4860 (34 pages).
29
D. Bernard and BD, Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states, J. Phys. A 46 (2013) 372001, preprint arXiv:1306.3900 (11 pages). Selected for inclusion in the Journal of Physics A Highlights of 2013 collection.
28
O. A. Castro-Alvaredo and BD, Entanglement in permutation symmetric states, fractal dimensions, and geometric quantum mechanics, J. Stat. Mech. (2013) P02016, preprint arXiv:1210.4486 (28 page).
27
BD, Conformal loop ensembles and the stress-energy tensor, Lett. Math. Phys. 103 (2013) 233-284, preprint arXiv:1209.1560 (49 pages).
26
D. Bernard and BD, Full Counting Statistics in the Resonant-Level Model, J. Math. Phys. 53, 122302 (2012), preprint arXiv:1105.1695 (31 pages).
25
D. Bernard and BD, Energy flow in non-equilibrium conformal field theory, J. Phys. A 45 (2012) 362001, preprint arXiv:1202.0239 (9 pages).
24
BD, Calculus on manifolds of conformal maps and CFT, J. Phys. A 45 (2012) 315202, preprint arXiv:1004.0138 (53 pages). Selected for inclusion in IOPselect, http://Select.iop.org.
23
O. A. Castro Alvaredo and BD, Entanglement entropy of highly degenerate states and fractal dimensions, Phys. Rev. Lett. 108, 120401 (2012), preprint  arXiv:1103.3247 (5 pages).
22
O. A. Castro Alvarero, BD and E. Levi, Arguments towards a c-theorem from branch point twist fields, J. Phys. A 44 (2011) 492003, preprint arXiv:1107.4280 (13 pages).
21
BD and J. Silk, Correlation functions of twist fields from Ward identities in the massive Dirac theory, J. Phys. A 44, 295402 (2011), preprint arXiv:1103.2328 (31 pages).
20
O. A. Castro Alvaredo and BD, Permutation operators, entanglement entropy, and the XXZ spin chain in the limit $\Delta\to-1^+$, J. Stat. Mech. (2011) P02001, preprint  arXiv:1011.4706 (31 pages).
19
O. A. Castro Alvaredo and BD, Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories, J. Phys. A 42, 504006 (2009), in special issue "Entanglement entropy in extended quantum systems" ed. by P. Calabrese, J. Cardy and B. Doyon, preprint arXiv:0906.2946 (50 pages).
18
O. A. Castro Alvaredo and BD, Bi-partite entanglement entropy in QFT with a boundary: the Ising model, J. Stat. Phys. 134 105-145 (2009), preprint arXiv:0810.0219 (41 pages).
17
BD, Bi-partite entanglement entropy in massive two-dimensional quantum field theory, Phys. Rev. Lett. 102, 031602 (2009), preprint arXiv:0803.1999 (4 pages). Selected for the February 2009 issue of the Virtual Journal of Quantum Information.
16
O. A. Castro Alvaredo and BD, Bi-partite entanglement entropy in integrable models with backscattering, J. Phys. A 41, 275203 (2008), preprint arXiv:0802.4231 (22 pages).
15
BD and A. Gamsa, Integral equations and long-time asymptotics for finite-temperature Ising chain correlation functions, J. Stat. Mech. (2008) P03012, preprint arXiv:0711.4619 (40 pages).
14
BD,  Twisted modules for vertex operator algebras, London Mathematical Society/Cambridge University Press, proceedings of the workshop “Moonshine - the First Quarter Century and Beyond, a Workshop on the Moonshine Conjectures and Vertex Algebras” (Edinburgh, 2004), preprint math.QA/0611120 (41 pages).
13
J. L. Cardy, O. A. Castro Alvaredo and BD,  Form factors of branch-point twist fields in quantum integrable models and entanglement entropy, J. Stat. Phys. 130, 129-168 (2008), preprint arXiv:0706.3384 (40 pages).
12
BD,  New method for studying steady states in quantum impurity problems: the interacting resonant level model, Phys. Rev. Lett. 99, 076806 (2007), preprint cond-mat/0703249 (4 pages).
11
BD and J. Cardy, Calogero-Sutherland eigenfunctions with mixed boundary conditions and conformal field theory correlators, J. Phys. A 40, 2509-2540 (2007), preprint hep-th/0611054 (32 pages).
10
BD, Finite-temperature form factors: a review, SIGMA 3 011 (2007), proceedings of the “O’Raifertaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory” (Budapest, 2006), preprint hep-th/0611066 (37 pages).
9
BD, V. Riva and J. Cardy, Identification of the stress-energy tensor through conformal restriction in SLE and related processes, Commun. Math. Phys. 268, 687-716 (2006), preprint math-ph/0511054 (30 pages).
8
BD, J. Lepowsky and A. Milas, Twisted vertex operators and Bernoulli polynomials, Commun. Cont. Math. 8, 247-307 (2006), preprint math.QA/0311151 (61 pages).
7
BD and N. Andrei, Universal aspects of non-equilibrium currents in a quantum dot, Phys. Rev. B 73 245326 (2006), preprint cond-mat/0506235 (35 pages). Selected for publication in the July 4, 2006 issue of Virtual Journal of Nanoscale Science and Technology (http://www.vjnano.org).
6
BD, Finite-temperature form factors in the Majorana theory, J. Stat. Mech. (2005) P11006 preprint hep-th/0506105 (40 pages).
5
BD and P. Fonseca, Ising field theory on a pseudosphere, J. Stat. Mech. (2004) P07002, preprint hep-th/0404136 (39 pages).
4
BD, Form factor of Ising spin and disorder fields on the Poincaré disk, J. Phys. A 37, 359-370 (2003), special edition, proceedings of the workshop "Recent Advances in the Theory of Integrable Systems" (Annecy, 2003), Rutgers preprint .pdf (12 pages).
3
BD, Two-point functions of scaling fields in the Dirac theory on the Poincaré disk, Nucl. Phys. B 675, 607-630 (2003), preprint hep-th/0304190 (24 pages).
2
BD, J. Lepowsky and A. Milas, Twisted modules for vertex operator algebras and Bernoulli polynomials, I.M.R.N. 44, 2391-2408 (2003), preprint math.QA/0303193 (18 pages).
1
BD and S. Lukyanov, Fermion Schwinger's functions for the SU(2)-Thirring model, Nucl. Phys. B644, 451-475 (2002), preprint hep-th/0203135 (25 pages).

Articles / lecture notes / proceedings currently on arXiv only
6
J. Bhaseen, B. Doyon, A. Lucas and K. Schalm, Far from equilibrium energy flow in quantum critical systems, preprint  arXiv:1311.3655 (5 pages). Under consideration for publication.
5
Y. Chen and BD, Form factors in equilibrium and non-equilibrium mixed states of the Ising model, preprint arXiv:1305.0518 (47 pages). Under consideration for publication.
4
BD, Nonequilibrium density matrix for thermal transport in quantum field theory, preprint arXiv:1212.1077 (20 pages). Lecture notes for École de Physique des Houches: Physique des systèmes quantiques fortement corrélés hors équilibre, Les Houches, Frances, 30 juillet - 24 août 2012
3
BD, Higher conformal variations and the Virasoro vertex operator algebra, preprint arXiv:1110.1507 (55 pages). Under consideration for publication.

2
BD, Factorization of conformal maps on finitely connected domains, preprint arXiv:1107.0582 (5 pages). New proof of an old theorem.
1
BD, Conformal loop ensembles and the stress-energy tensor.  I. Fundamental notions of CLE, preprint arXiv:0903.0372 (61 pages); II. Construction of the stress-energy tensor, preprint arXiv:0908.1511 (62 pages). Combined version published in Lett. Math. Phys. (see point 27 above).

All international school lecture notes

Nonequilibrium density matrix for thermal transport in quantum field theory, preprint arXiv:1212.1077 (20 pages), Lecture notes for École de Physique des Houches: Physique des systèmes quantiques fortement corrélés hors équilibre, Les Houches, Frances, 30 juillet - 24 août 2012

The density matrix for quantum impurities out of equilibrium, lecture notes for the Fifth Capri Spring School on Transport in Nanostructure (5 may 2009), QuantumImpurities.pdf (42 pages).

Some talks

Integrability out of equilibrium: current, fluctuations, correlations
Dijon 5 September 2013

Random loops and conformal field theory
STATPHYS25 Seoul 25 July 2013

Fluctuation relations in non-equilibrium quantum steady states
Imperial College 10 July 2013

Conformal restriction, conformal geometry and vertex algebras
Simons Center (Stony Brook) April 2013

Non-equilibrium steady states in (near) critical quantum systems
Nottingham 26 Feb 2013, Brookhaven 25 April 2013, Birmingham 9 May 2013.

Conformal field theory from conformal loop ensembles
Dijon 2012

slides (.pdf)
Exact low-energy results for non-equilibrium steady states
Mohanpur, India, 3 January 2012
Edinburgh Unviersity, 9 December 2011

slides (.pdf)
The entanglement entropy in integrable quantum field theory
University of Tours, France, 20 October 2011
University of Bologna, Italy, 14 Septemner 2011

slides (.pdf), slides (.pdf)
The vertex operator algebra of conformal loop ensembles
Cardiff University, 7 October 2010
Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain, July 2010
Conformal field theory from conformal loop ensembles
Centro Stefano Franscini, Monte Veritá, Ascona, Switzerland, May 2010
Calculus on infinite-dimensional manifolds, conformal field theory, and its probabilistic descriptions
Département de physique théorique, Université de Genève, 24 March 2010

slides (.pdf)
The stress-energy tensor in conformal loop ensembles
Centre de Recherche Mathématiques, Montréal, Canada, 7 August 2008
Université du Québec à Montréal, Canada, 4 June 2008

slides (.pdf)
The entanglement entropy and its universal behaviour in one dimension
Galileo Galilei Centre for Theoretical Physics, Florence, Italy, 8 September 2008
Centre for Particle Theory, Durham University, 11 March 2008

slides (.pdf)
Branch-point twist fields and entanglement entropy in integrable quantum field theory
Mathematics Deparment, University of Edinburgh, 31 October 2007
Département de physique, Université Laval, Québec, Canada, 21 June 2007
Kings College, London, 11 May 2007
Form factors of branch-point twist fields and entanglement entropy in integrable quantum feld theory
Bogoliubov Laboratory of Theoretical Physics, Prague, Czech Republic, 15 June 2007

slides (.pdf)
Linear integral equations for finite-temperature dynamical correlation functions in the quantum Ising model
University of Algarve, Faro, Portugal, 25 July 2007

slides (.pdf), slides (.pdf)
The density matrix formulation for quantum impurities in steady states out of equilibrium
Department of physics, Aachen University, Germany, 12 May 2009
Institute for Theoretical Physics, Amsterdam University, The Netherlands, 9 July 2009
The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, 15 July 2009
Quantum impurities in non-equilirbium steady states
Department of physics, Warwick University, 11 October 2007
New method for studying steady states in quantum impurity problems
Montauk Yatch Club, Long Island, U.S.A., 5 September 2007
A new method for quantum impurity problems: the interacting resonant-level model
Department of mathematics, University of York, 12 March 2007
New results on the nonequilibrium interacting resonant-level model
Department of theoretical physics, Oxford University, 14 February 2007
Quantum impurity systems: using the equations of motion
Department of physics, École Normale Supérieure de Paris, 28 November 2006

slides (.pdf)
Conformal field theory and Schramm-Loewner evolution
Department of mathematics, Rutgers University, New Brunswick, U.S.A., 7 September 2007
Deparment of physics, Universitá degli Studi di Milano, 1 March 2007

slides (.pdf)
Solving Painlevé connection problems using two-dimensional integrable quantum field theory
Department of mathematics, Manchester University, 16 November 2006
School of Mathematics, City University, 4 October 2006
Newton Institute, Cambridge, 20 September 2006

slides (.pdf)
Identification of the stress-energy tensor through conformal restriction in SLE and related processes
École Normale Supérieure de Lyon, 14 September 2006