Bruno Nachtergaele - Publications

Affiliations: 
Mathematics University of California, Davis, Davis, CA 
Area:
Mathematics

70 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Nachtergaele B, Sherman NE. Dispersive toric code model with fusion and defusion Physical Review B. 101. DOI: 10.1103/Physrevb.101.115105  0.362
2019 Lemm M, Nachtergaele B. Gapped PVBS models for all species numbers and dimensions Reviews in Mathematical Physics. 31: 1950028. DOI: 10.1142/S0129055X19500284  0.415
2019 Nachtergaele B, Sims R, Young A. Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms Journal of Mathematical Physics. 60: 061101. DOI: 10.1063/1.5095769  0.485
2019 Cha M, Naaijkens P, Nachtergaele B. On the Stability of Charges in Infinite Quantum Spin Systems Communications in Mathematical Physics. 373: 219-264. DOI: 10.1007/S00220-019-03630-1  0.522
2018 Nachtergaele B, Sims RJ, Young A. Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems Contemporary Mathematics. 717: 93-115. DOI: 10.1090/Conm/717/14443  0.51
2018 Nachtergaele B. Editor’s Note: Spontaneous S U 2 ( C ) symmetry breaking in the ground states of quantum spin chain [J. Math. Phys. 59, 111701 (2018)] Journal of Mathematical Physics. 59: 110401. DOI: 10.1063/1.5058153  0.398
2018 Moon A, Nachtergaele B. Stability of gapped ground state phases of spins and fermions in one dimension Journal of Mathematical Physics. 59: 091415. DOI: 10.1063/1.5036751  0.57
2017 Nachtergaele B, Ueltschi D. A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains Letters in Mathematical Physics. 107: 1629-1647. DOI: 10.1007/S11005-017-0960-0  0.518
2017 Cha M, Naaijkens P, Nachtergaele B. The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models Communications in Mathematical Physics. 357: 125-157. DOI: 10.1007/S00220-017-2989-4  0.436
2017 Abdul-Rahman H, Nachtergaele B, Sims R, Stolz G. Localization properties of the disordered XY spin chain Annalen Der Physik. 529: 1600280. DOI: 10.1002/Andp.201600280  0.419
2016 Abdul-Rahman H, Nachtergaele B, Sims R, Stolz G. Entanglement Dynamics of Disordered Quantum XY Chains Letters in Mathematical Physics. 106: 649-674. DOI: 10.1007/S11005-016-0835-9  0.399
2016 Bishop M, Nachtergaele B, Young A. Spectral Gap and Edge Excitations of d-Dimensional PVBS Models on Half-Spaces Journal of Statistical Physics. 1-37. DOI: 10.1007/S10955-016-1457-4  0.468
2015 Bachmann S, Hamza E, Nachtergaele B, Young A. Product Vacua and Boundary State Models in d-Dimensions Journal of Statistical Physics. DOI: 10.1007/S10955-015-1260-7  0.445
2014 Bachmann S, Nachtergaele B. On Gapped Phases with a Continuous Symmetry and Boundary Operators Journal of Statistical Physics. 154: 91-112. DOI: 10.1007/S10955-013-0850-5  0.512
2014 Bachmann S, Nachtergaele B. Product Vacua with Boundary States and the Classification of Gapped Phases Communications in Mathematical Physics. 329: 509-544. DOI: 10.1007/S00220-014-2025-X  0.494
2014 Nachtergaele B, Vershynina A, Zagrebnov VA. Non-Equilibrium States of a Photon Cavity Pumped by an Atomic Beam Annales Henri Poincare. 15: 213-262. DOI: 10.1007/S00023-013-0247-7  0.72
2013 Haegeman J, Michalakis S, Nachtergaele B, Osborne TJ, Schuch N, Verstraete F. Elementary excitations in gapped quantum spin systems. Physical Review Letters. 111: 080401. PMID 24010415 DOI: 10.1103/Physrevlett.111.080401  0.719
2013 Nachtergaele B, Sims R, Stolz G. An area law for the bipartite entanglement of disordered oscillator systems Journal of Mathematical Physics. 54. DOI: 10.1063/1.4802029  0.392
2013 Nachtergaele B, Scholz VB, Werner RF. Local approximation of observables and commutator bounds Operator Theory: Advances and Applications. 227: 143-149.  0.367
2012 Bachmann S, Nachtergaele B. Product vacua with boundary states Physical Review B. 86. DOI: 10.1103/Physrevb.86.035149  0.468
2012 Nachtergaele B, Ng S, Starr S. Ferromagnetic Ordering of Energy Levels for U q(sl 2) Symmetric Spin Chains Letters in Mathematical Physics. 100: 327-356. DOI: 10.1007/S11005-011-0538-1  0.704
2012 Nachtergaele B, Sims R, Stolz G. Quantum Harmonic Oscillator Systems with Disorder Journal of Statistical Physics. 149: 969-1012. DOI: 10.1007/S10955-012-0652-1  0.421
2012 Bachmann S, Michalakis S, Nachtergaele B, Sims R. Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems Communications in Mathematical Physics. 309: 835-871. DOI: 10.1007/S00220-011-1380-0  0.725
2010 Nachtergaele B, Schlein B, Sims R, Starr S, Zagrebnov V. On the existence of the dynamics for anharmonic quantum oscillator systems Reviews in Mathematical Physics. 22: 207-231. DOI: 10.1142/S0129055X1000393X  0.419
2010 Nachtergaele B. Lieb-Robinson bounds and the existence of infinite system dynamics Xvith International Congress On Mathematical Physics. 391-396. DOI: 10.1142/9789814304634_0028  0.372
2010 Michoel T, Mulherkar J, Nachtergaele B. Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions New Journal of Physics. 12. DOI: 10.1088/1367-2630/12/2/025003  0.747
2009 Hamza E, Michalakis S, Nachtergaele B, Sims R. Approximating the ground state of gapped quantum spin systems Journal of Mathematical Physics. 50. DOI: 10.1063/1.3206662  0.74
2009 Nachtergaele B, Raz H, Schlein B, Sims R. Lieb-robinson bounds for harmonic and anharmonic lattice systems Communications in Mathematical Physics. 286: 1073-1098. DOI: 10.1007/S00220-008-0630-2  0.681
2008 Michoel T, Nachtergaele B, Spitzer W. Transport of interface states in the Heisenberg chain Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/49/492001  0.354
2008 Mulherkar J, Nachtergaele B, Sims R, Starr S. Isolated eigenvalues of the ferromagnetic spin-JXXZ chain with kink boundary conditions Journal of Statistical Mechanics: Theory and Experiment. 2008. DOI: 10.1088/1742-5468/2008/01/P01016  0.746
2007 Nachtergaele B, Sims R. A multi-dimensional Lieb-Schultz-Mattis theorem Communications in Mathematical Physics. 276: 437-472. DOI: 10.1007/S00220-007-0342-Z  0.532
2007 Nachtergaele B, Spitzer W, Starr S. Droplet excitations for the spin-1/2 XXZ chain with kink boundary conditions Annales Henri Poincare. 8: 165-201. DOI: 10.1007/S00023-006-0304-6  0.388
2006 Michalakis S, Nachtergaele B. Entanglement in finitely correlated spin states. Physical Review Letters. 97: 140601. PMID 17155233 DOI: 10.1103/Physrevlett.97.140601  0.746
2006 Nachtergaele B, Ogata Y, Sims R. Propagation of correlations in quantum lattice systems Journal of Statistical Physics. 124: 1-13. DOI: 10.1007/S10955-006-9143-6  0.37
2006 Nachtergaele B, Sims R. Lieb-Robinson bounds and the exponential clustering theorem Communications in Mathematical Physics. 265: 119-130. DOI: 10.1007/S00220-006-1556-1  0.407
2006 Nachtergaele B, Starr S. Ordering of energy levels in Heisenberg models and applications Lecture Notes in Physics. 690: 149-170. DOI: 10.1007/3-540-34273-7_13  0.483
2005 Nachtergaele B, Starr S. Ferromagnetic Lieb-Mattis theorem. Physical Review Letters. 94: 057206. PMID 15783691 DOI: 10.1103/Physrevlett.94.057206  0.75
2004 Nachtergaele B, Spitzer W, Starr S. Ferromagnetic Ordering of Energy Levels Journal of Statistical Physics. 116: 719-738. DOI: 10.1023/B:Joss.0000037227.24460.E5  0.538
2004 Michoel T, Nachtergaele B. Central limit theorems for the large-spin asymptotics of quantum spins Probability Theory and Related Fields. 130: 493-517. DOI: 10.1007/S00440-004-0364-9  0.519
2003 Nachtergaele B, Yau HT. Derivation of the Euler Equations from Quantum Dynamics Communications in Mathematical Physics. 243: 485-540. DOI: 10.1007/S00220-003-0980-8  0.313
2002 Contucci P, Nachtergaele B, Spitzer WL. Ferromagnetic Heisenberg XXZ chain in a pinning field Physical Review B - Condensed Matter and Materials Physics. 66: 644291-6442913. DOI: 10.1103/Physrevb.66.064429  0.387
2002 Bru JB, Nachtergaele B, Zagrebnov VA. The equilibrium states for a model with two kinds of Bose condensation Journal of Statistical Physics. 109: 143-176. DOI: 10.1023/A:1019935511359  0.364
2001 Koma T, Nachtergaele B, Starr S. The spectral gap for the ferromagnetic spin-J XXZ chain Advances in Theoretical and Mathematical Physics. 5: 1-48. DOI: 10.4310/Atmp.2001.V5.N6.A3  0.529
2001 Nachtergaele B, Starr S. Droplet states in the XXZ Heisenberg chain Communications in Mathematical Physics. 218: 569-607. DOI: 10.1007/S002200100421  0.554
2000 Bolina O, Contucci P, Nachtergaele B. Path integral representation for interface states of the anisotropic Heisenberg model Reviews in Mathematical Physics. 12: 1325-1344. DOI: 10.1142/S0129055X00000496  0.548
2000 Datta N, Messager A, Nachtergaele B. Rigidity of interfaces in the Falicov-Kimball model Journal of Statistical Physics. 99: 461-555. DOI: 10.1023/A:1018609126399  0.381
2000 Bolina O, Contucci P, Nachtergaele B, Starr S. Finite-volume excitations of the 111 interface in the quantum XXZ model Communications in Mathematical Physics. 212: 63-91. DOI: 10.1007/S002200000192  0.478
1998 Koma T, Nachtergaele B. The complete set of ground states of the ferromagnetic XXZ chains Advances in Theoretical and Mathematical Physics. 2: 533-558. DOI: 10.4310/Atmp.1998.V2.N3.A4  0.539
1997 Nachtergaele B, Periwal V. Quantum gate arrays as coherent sums over classical logic gate arrays Journal of Physics a: Mathematical and General. 30: 8685-8692. DOI: 10.1088/0305-4470/30/24/027  0.437
1997 Koma T, Nachtergaele B. The Spectral Gap of the Ferromagnetic XXZ Chain Letters in Mathematical Physics. 40: 1-16. DOI: 10.1023/A:1007351803403  0.492
1996 Macris N, Nachtergaele B. On the flux phase conjecture at half-filling: An improved proof Journal of Statistical Physics. 85: 745-761. DOI: 10.1007/Bf02199361  0.344
1996 Fannes M, Nachtergaele B, Werner RF. Quantum spin chains with quantum group symmetry Communications in Mathematical Physics. 174: 477-507. DOI: 10.1007/Bf02101525  0.42
1996 Nachtergaele B. The spectral gap for some spin chains with discrete symmetry breaking Communications in Mathematical Physics. 175: 565-606. DOI: 10.1007/Bf02099509  0.556
1995 Lieb EH, Nachtergaele B. Stability of the Peierls instability for ring-shaped molecules. Physical Review. B, Condensed Matter. 51: 4777-4791. PMID 9979344 DOI: 10.1103/Physrevb.51.4777  0.338
1994 Aizenman M, Nachtergaele B. Geometric aspects of quantum spin states Communications in Mathematical Physics. 164: 17-63. DOI: 10.1007/Bf02108805  0.561
1994 Fannes M, Nachtergaele B, Werner RF. Finitely Correlated Pure States Journal of Functional Analysis. 120: 511-534. DOI: 10.1007/978-1-4615-2460-1_20  0.487
1992 FANNES M, NACHTERGAELE B, SLEGERS L. FUNCTIONS OF MARKOV PROCESSES AND ALGEBRAIC MEASURES Reviews in Mathematical Physics. 4: 39-64. DOI: 10.1142/S0129055X92000030  0.352
1992 Fannes M, Nachtergaele B, Werner RF. Finitely correlated states on quantum spin chains Communications in Mathematical Physics. 144: 443-490. DOI: 10.1007/Bf02099178  0.512
1992 Fannes M, Nachtergaele B, Werner RF. Ground states of VBS models on cayley trees Journal of Statistical Physics. 66: 939-973. DOI: 10.1007/Bf01055710  0.389
1992 Fannes M, Nachtergaele B, Werner RF. Abundance of translation invariant pure states on quantum spin chains Letters in Mathematical Physics. 25: 249-258. DOI: 10.1007/Bf00406552  0.547
1991 Fannes M, Nachtergaele B, Werner RF. Valence bond states on quantum spin chains as ground states with spectral gap Journal of Physics a: General Physics. 24. DOI: 10.1088/0305-4470/24/4/005  0.519
1991 Broidioi M, Nachtergaele B, Verbeure A. The Overhauser model: Equilibrium fluctuation dynamics Journal of Mathematical Physics. 32: 2929-2935. DOI: 10.1063/1.529035  0.326
1989 Fannes M, Nachtergaele B, Werner RF. Exact Antiferromagnetic Ground States of Quantum Spin Chains Europhysics Letters (Epl). 10: 633-637. DOI: 10.1209/0295-5075/10/7/005  0.555
1988 Fannes M, Nachtergaele B, Verbeure A. Tunnelling in the equilibrium state of a spin-boson model Journal of Physics a: Mathematical and General. 21: 1759-1768. DOI: 10.1088/0305-4470/21/8/012  0.501
1988 Fannes M, Nachtergaele B. Translating the spin-boson model into a classical system Journal of Mathematical Physics. 29: 2288-2293. DOI: 10.1063/1.528109  0.517
1988 Nachtergaele B, Slegers L. The ground state and its entropy for a class of one-dimensional classical lattice systems Physica a: Statistical Mechanics and Its Applications. 149: 432-446. DOI: 10.1016/0378-4371(88)90114-8  0.33
1988 Fannes M, Nachtergaele B, Verbeure A. The equilibrium states of the spin-boson model Communications in Mathematical Physics. 114: 537-548. DOI: 10.1007/Bf01229453  0.47
1987 Fannes M, Nachtergaele B, Verbeure A. Quantum tunnelling in the spin-boson model Epl. 4: 963-965. DOI: 10.1209/0295-5075/4/9/002  0.488
1986 Nachtergaele B, Verbeure A. Groups of canonical transformations and the virial-Noether theorem Journal of Geometry and Physics. 3: 315-325. DOI: 10.1016/0393-0440(86)90012-4  0.319
1985 Nachtergaele B. Quantum angular momentum fluctuations Journal of Mathematical Physics. 26: 2317-2323. DOI: 10.1063/1.526815  0.386
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