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Dr Benjamin Doyon


Telephone: +44 020 7848 2854


Office: S4.02.6, Strand Building, Strand Campus

Title: Reader in Theoretical Physics

Personal Website 


Dr Doyon was an undergraduate at Université Laval (Québec, Canada) from 1995 to 1998, where he obtained his baccalaureate degree in physics. He completed his PhD studies on the subject of integrable quantum field theory from 1998 to 2004 at Rutgers University (New Jersey, U.S.A.), partly funded by a four-year NSERC (Canada) fellowship and under the supervision of Prof. Sergei Lukyanov. While at Rutgers, he also participated in a programme of study and research in mathematics under the supervision of Prof. James Lepowsky, and had the opportunity to work in condensed matter theory with Prof. Natan Andrei.

He then obtained an EPSRC postdoctoral research fellowship from 2004 to 2007, spent at the Rudolf Peierls Centre for Theoretical Physics of Oxford University under the guidance of Prof. John Cardy. He was lecturer in mathematics in the theoretical physics group of Durham University from 2007 to 2009, where he started the supervision of his first PhD student in the summer of 2009. He was then appointed to a lectureship at King's College London from January 2010, was promoted to Senior Lecturer in September 2014, and to Reader in September 2016. He obtained an EPSRC First Grant in mathematics (2010-2012) and recently obtained an EPSRC Standard Grant, as co-investigator with Olalla A. Castro Alvaredo (City, University of London).

Research Interests

One of the most important ideas in modern science is that of emerging complexity in situations where many simple agents are in interaction. This beautiful idea is at the root of some of the most unexpected phenomena observed, and lead to many new developments in the theoretical physics of many-body systems. It is also at the basis of fundamental particle physics, macro economics and life itself. In my research, I study such emerging behaviours especially in the context of quantum and classical statistical physics. I concentrate on the theoretical and mathematical aspects. I like to obtain exact formulae and develop new methods and mathematical frameworks in order to have a good understanding of the emerging physical principles that are at play. I use the extensive toolboxes of integrability, field theory and, recently, fluid dynamics as well as C-star algebras and functional analysis.

My early works concentrated on integrable quantum field theory, where I worked on two-dimensional critical statistical models on curved space, integrable quantum field theory at nonzero temperature, and the relation between quantum correlation functions and integrable partial differential equations. I have also developed aspects of vertex operator algebras. More recently I have studied conformal loop ensembles and their relation with conformal field theory, Monte Carlo methods for critical systems, the theory of twist fields and its use for quantum entanglement in many-body systems, the theory of quantum states out of equilibrium and their large deviation functions, and I have obtained mathematically rigorous results on thermalization and generalized Gibbs ensembles.

Selection of Publications

BD, Thermalization and pseudolocality in extended quantum systems, to appear in Commun. Math. Phys., preprint arXiv:1512.03713 (46 pages).

O. A. Castro-Alvaredo, BD and T. Yoshimura, Emergent hydrodynamics in integrable quantum systems out of equilibrium, Phys. Rev. X 6, 041065 (2016), preprint arXiv:1605.07331 (12 pages). American Physical Institute Viewpoint, by J. Dubail (

V. Herdeiro and BD, A Monte Carlo method for critical systems in infinite volume: the planar Ising model, Phys. Rev. E 94, 043322 (2016), preprint arXiv:1605.05350 (43 pages). Phys. Rev. E Editor’s Suggestion (

D. Bernard and BD, Conformal field theory out of equilibrium: a review, J. Stat. Mech. 2016, 064005 (2016), special issue on Nonequilibrium dynamics in integrable quantum systems, P. Calabrese et al., eds., preprint arXiv:1603.07765 (60 pages).

O. Blondeau-Fournier, O. A. Castro-Alvaredo and BD, Universal scaling of the logarithmic negativity in massive quantum field theory, J. Phys. A 49, 125401 (2016), preprint arXiv:1508.04026 (21 pages).

J. Bhaseen, BD, A. Lucas and K. Schalm, Energy flow in quantum critical systems far from equilibrium, Nature Physics 11, 509–514 (2015), preprint arXiv:1311.3655 (5 pages).

Y. Chen and BD, Form factors in equilibrium and non-equilibrium mixed states of the Ising model, J. Stat. Mech. 2014, P09021 (2014), preprint arXiv:1305.0518 (47 pages). Selected for inclusion in June 2015 Highlights of Journal of Statistical Mechanics (

D. Bernard and BD, Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states, J. Phys. A 46, 372001 (2013), preprint arXiv:1306.3900 (11 pages). Selected for inclusion in the Journal of Physics A Highlights of 2013 collection (

BD, Conformal loop ensembles and the stress-energy tensor, Lett. Math. Phys. 103, 233–284 (2013), preprint arXiv:1209.1560 (49 pages).

D. Bernard and BD, Energy flow in non-equilibrium conformal field theory, J. Phys. A 45, 362001 (2012), preprint arXiv:1202.0239 (9 pages).

BD, Calculus on manifolds of conformal maps and CFT, J. Phys. A 45, 315202 (2012), preprint arXiv:1004.0138 (53 pages). Selected for inclusion in IOPselect 2012 (

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).

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).

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).




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