Selected publications

“Algebraic Bethe Circuits”, Alejandro Sopena, Max Hunter Gordon, Diego García-Martín, Germán Sierra, Esperanza López; arXiv:2202.04673.

“Simulating violation of causality using a topological phase transition”, Sudipto Singha Roy, Anindita Bera, and Germán Sierra, Phys. Rev. A. 2022; arXiv:2105.09795.

“Riemann zeros from a periodically-driven trapped ion”, Ran He, Ming-Zhong Ai, Jin-Ming Cui, Yun-Feng Huang, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo, G.Sierra, C.E. Creffield, npj Quantum Information.  Vol.7, 109 (2021);  arXiv:2102.06936.

“Field Tensor Network States” Anne E. B. Nielsen, Benedikt Herwerth, J. Ignacio Cirac, Germán Sierra, Phys. Rev. B 103, 155130 (2021);  arXiv:2001.07723.

“Entanglement as geometry and flow”, S. Singha Roy, S. N.  Santalla, J.  Rodríguez-Laguna, G.  Sierra, Phys. Rev. B 101, 195134 (2020); arXiv:1906.05146 2019.

“Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas”, Andrea Colcelli, Giuseppe Mussardo, Germán Sierra, Andrea Trombettoni; Phys. Rev. Lett. 123, 130401 (2019); arXiv:1902.07809.

“Tensor renormalization group in bosonic field theory”, Manuel Campos, Germán Sierra, Esperanza López, Phys. Rev. B 100, 195106 (2019); arXiv:1902.02362.

“Symmetry protected phases in inhomogeneous spin chains”, Nadir Samos Sáenz de Buruaga, Silvia N. Santalla, Javier Rodríguez-Laguna, Germán Sierra; J. Stat. Mech. (2019) 093102;  arXiv:1812.04869.

“Equipartition of the Entanglement Entropy”, J. C. Xavier, F. C. Alcaraz, G. Sierra; Phys. Rev. B 98, 041106 (2018);  arXiv:1804.06357. 

“Five Experimental Tests on the 5-Qubit IBM Quantum Computer”,
Diego García-Martín, Germán Sierra, J. of App. Maths and Phys., 6, 1460 (2018); arXiv:1712.05642.

“Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems”,  Erik Tonni, Javier Rodríguez-Laguna, Germán Sierra, J. Stat. Mech. (2018) 043105;  arXiv:1712.03557.

“The BCS wave function, matrix product states, and the Ising conformal field theory”, Sebastián Montes, Javier Rodríguez-Laguna, Germán Sierra; Phys. Rev. B 96, 195152 (2017);  arXiv:1709.01979.

“More on the rainbow chain: entanglement, space-time geometry and thermal states”,
Javier Rodríguez-Laguna, Jerome Dubail, Giovanni Ramírez, Pasquale Calabrese, Germán Sierra, J. Phys. A: Math. Theor. 50, 164001 (2017); arXiv:1611.08559.

“Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions”,
A. Bermudez, L. Tagliacozzo, G. Sierra and P. Richerme, Phys. Rev. B 95, 024431 (2017);
arXiv:1607.03337.

“Boson Condensation in Topologically Ordered Quantum Liquids”, Titus Neupert, Huan He, Curt von Keyserlingk, Germán Sierra, B. Andrei Bernevig; Phys. Rev. B  93, 115103  (2016);  arXiv:1601.01320.

“Entanglement over the rainbow”, Giovanni Ramírez, Javier Rodríguez-Laguna, Germán Sierra, J. Stat. Mech. P06002 (2015); arXiv:1503.02695.

“Finding zeros of the Riemann zeta function by periodic driving of cold atoms”, C.E. Creffield, G. Sierra, Phys. Rev. A 91, 063608 (2015);  arXiv:1411.0459.

“The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime”, Germán Sierra, J. Phys. A: Math. Theor. 47,  325204 (2014); IOP Select; arXiv:1404.4252.

“There is entanglement in the primes”,  José Ignacio Latorre, Germán Sierra; Quantum Information and Computation, Vol. 15, 0622 (2015); arXiv:1403.4765.

“Lattice Laughlin States of Bosons and Fermions at Filling Fractions 1/q”,
Hong-Hao Tu, Anne E. B. Nielsen, J. Ignacio Cirac, Germán Sierra;
New J. Phys. 16, 033025 (2014); arXiv:1311.3958.

“Fractional quantum Hall states in lattices: Local models and physical implementation”, Anne E. B. Nielsen, Germán Sierra, J. Ignacio Cirac;  Nature Communications 4, 2864 (2013);  arXiv:1304.0717.

“Quantum Computation of Prime Number Functions”,  José Ignacio Latorre, Germán Sierra; Quantum Information and Computation, Vol. 14,  0577 (2014);  arXiv:1302.6245.

“Laughlin spin liquid states on lattices obtained from conformal field theory”, A. E. B. Nielsen, J. I. Cirac, G. Sierra, Phys. Rev. Lett. 108, 257206 (2012); arXiv:1201.3096.

“Quantum spin Hamiltonians for the SU(2)_k  WZW model”, A. E. B. Nielsen, J. I. Cirac, G.  Sierra, J. Stat. Mech. P11014 (2011),  arXiv:1109.5470.

“The H=xp model revisited and the Riemann zeros”, G.  Sierra, J.  Rodríguez-Laguna, Phys. Rev. Lett. 106 , 200201 (2011);  arXiv:1102.5356.

“Entanglement of low-energy excitations in Conformal Field Theory”, F. C. Alcaraz, M.  Ibañez Berganza and G.  Sierra,  Phys. Rev. Lett. 106, 201601 (2011); arXiv:1101.2881.

“Chiral correlators of the Ising conformal field theory”, E. Ardonne, G. Sierra;  J. Phys. A. 43, 505402 (2010), IOPSelect; arXiv:1008.2863.

“Infinite matrix product states, Conformal Field Theory and the Haldane-Shastry model”, J. I.  Cirac and  G. Sierra,   Phys. Rev. B 81, 104431 (2010); arXiv:0911.3029.

“Entanglement entropy of integer Quantum Hall states”,  Iván D. Rodriguez, G. Sierra, Phys. Rev. B 80, 153303 (2009);  arXiv:0811.2188.

“An exactly solvable pairing model with p-wave symmetry”, M. Ibañez, J. Links, G. Sierra and Shao-You Zhao, Phys. Rev. B 79, 180501(R) (2009); arXiv:0810.0340.

“Landau levels and Riemann zeros”, G.  Sierra, P. K. Townsend, Phys. Rev. Lett. 101, 110201 (2008); arXiv:0805.4079.

“Exactly solvable Richardson-Gaudin models for many-body quantum systems”, J. Dukelsky, S. Pittel, G. Sierra,  Rev. Mod. Phys. 76 (2004) 643-662;  nucl-th/0405011.

“The Russian-Doll Renormalization Group and Superconductivity”, A. LeClair, J.M. Román,  G. Sierra;   Phys. Rev.  B69 (2004) 20505; cond-mat/0211338.

“Anderson transition in low-dimensional  disordered systems driven by nonrandom long-range hopping”, Rodriguez, V. A. Malyshev,  G. Sierra, M. A. Martín-Delgado, J. Rodríguez-Laguna, F. Domínguez-Adame, Phys. Rev. Lett. 90, 27404 (2003);  cond-mat/0204496.

“Large N limit of the exactly solvable BCS model: analytics versus numerics”, J.M. Román, G. Sierra, J. Dukelsky,  Nucl. Phys.  B634 (2002) 483; cond-mat/0202070.

“Density-matrix renormalization-group  study of excitons in dendrimers”, M.A. Martín-Delgado, J. Rodriguez-Laguna, G. Sierra, Phys. Rev. B 65, 155116 (2002);  cond-mat/0012382.

“Chern-Simons theory and BCS superconductivity”, M. Asorey, F. Falceto,  G. Sierra,  Nucl. Phys. B622  (2002) 593; hep-th/0110266.

“Conformal field theory and the exact solution of the BCS Hamiltonian”, G. Sierra,  Nucl. Phys. B572 (2000) 517; hep-th/9911078.

“Density Matrix Renormalization Group  Study of Ultrasmall Superconducting Grains”, J. Dukelsky, G. Sierra, Phys. Rev. Lett. 83, 172 (1999); cond-mat/9903332.

“Diagonal Ladders: A Class of Models for Strongly Correlated Electron Systems”,
G. Sierra, M.A. Martín-Delgado, S.R. White, D.J. Scalapino, J. Dukelsky, Phys. Rev. B59, 7973 (1999); cond-mat/9806251.

“The Density Matrix Renormalization Group, Quantum Groups and Conformal Field Theory”, G. Sierra, M.A. Martín-Delgado, Proceedings of the Workshop on the Exact Renormalization Group, Faro (Portugal), 10-12 Sept.1998; arXiv:cond-mat/9811170.

“Equivalence of the Variational Matrix Product Ansatz Method and the Density Matrix Renormalization Group”,  J. Dukelsky, M.A. Martín-Delgado, T. Nishino,  G. Sierra, Europhysics Lett. 43, 457 (1998);  cond-mat/9710310.

“The Density Matrix Renormalization Group Method applied to Interaction Round a Face Hamiltonians”, G. Sierra, T. Nishino, Nucl. Phys. B495 (1997) 505;  cond-mat/9610221.

“Low-Energy properties of Antiferromagnetic Spin-1/2  Heisenberg Ladders with an Odd Number of Legs”,  B. Frischmuth, S. Haas, G. Sierra, T.M.Rice, Phys. Rev. B55, R3340 (1997);  cond-mat/9606183.

“Phase Transitions in Staggered Spin Ladders’, M.A. Martín-Delgado, R. Shankar, G. Sierra,  Phys. Rev. Lett. 77, 3443 (1996);  cond-mat/9605035.

“The non-linear sigma model and spin ladders”, G. Sierra, J. of Phys. A: Math. and General 29, 3299 (1996);  cond-mat 9512007.

“Real Space Renormalization Group Methods and Quantum Groups”,  M.A. Martín-Delgado, G. Sierra,  Phys. Rev. Lett. 76 (1996) 1146; cond-mat/9507115.

“The hidden quantum group of the eight-vertex free fermion model: q-Clifford algebras”,  R. Cuerno, C. Gómez, E. López,  G. Sierra, Phys. Lett. 307B (1993) 56; hep-th/9302089.

“Quantum harmonic oscillator algebra and link invariants”, C. Gómez, G. Sierra, Jour. of Math. Phys. 34, 2119 (1993); hep-th/9111005.

“q-Magnetism at roots of unity”, A. Berkovich, C. Gómez, G. Sierra, J. Phys. A: Math. Gen. 26 (1993) L45; hep-th/9206001.

“Quantum group meaning of the Coulomb gas”, C. Gómez, G. Sierra, Phys. Lett. 240B  (1990) 149.

“Quantum group interpretation of some rational  conformal field theories”, L. Alvarez-Gaumé, C. Gómez, G. Sierra, Phys. Lett. 220B (1989) 142.

“An application of the theories of Jordan algebras and Freudenthal triple systems to particles and strings”, G. Sierra, Class. and Quantum Gravity 4 (1987) 227.

“Quantum mechanical amplitudes for string propagation”, F. Jiménez, J. Ramírez Mittelbrunn, M. Ramon Medrano, G. Sierra, Phys.Lett. 171B  (1986) 369.

“Two-dimensional supersymmetric non-linear sigma-models with torsion”, P. S. Howe, G. Sierra, Phys. Lett. 148B (1984) 451.

“The geometry of N=2 Maxwell-Einstein supergravity and Jordan algebras”, M. Gunaydin, G. Sierra, P. K. Townsend, Nucl. Phys. B242 (1984) 244.

“Exceptional supergravity theories and the Magic Square”, M. Gunaydin, G. Sierra, P. K. Townsend, Phys. Lett. 133B (1983) 72.

Books

”Quantum Groups in two-dimensional Physics”, C. Gómez, M. Ruiz-Altaba, G. Sierra, Cambridge Monographs on Mathematical Physics, Cambridge University Press, London, 1996.

“Quantum electron liquids and hight-Tc superconductivity”, J. González, M.A. Martín-Delgado, G. Sierra, A. H. Vozmediano, Lecture Notes in Physics vol. m38 , Springer-Verlag, 1995.