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The first proof of the quantum adiabatic theorem was given as early as 1928.
Beweis des Adiabatensatzes
M. Born and V. Fock · 1928
Earlier work this paper cites.
On the adiabatic theorem of quantum mechanics
T. Kato · 1950
Earlier work this paper cites.
Statistical-mechanical theory of irreversible processes. I. General theory and simple applications to magnetic and conduction problems
R. Kubo · 1957
Earlier work this paper cites.
Generalized adiabatic invariance
L.M. Garrido · 1964
Earlier work this paper cites.
The finite group velocity of quantum spin systems
E.H. Lieb and D.W. Robinson · 1972
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Quantized Hall conductivity in two dimensions
R.B. Laughlin · 1981
Earlier work this paper cites.
Quantized Hall conductance in a two-dimensional periodic potential
D.J. Thouless, M. Kohmoto, M.P. Nightingale, and M. den Nijs · 1982
Earlier work this paper cites.
Quantization of particle transport
D.J. Thouless · 1983
Earlier work this paper cites.
Homotopy and quantization in condensed matter physics
J.E. Avron, R. Seiler, and B. Simon · 1983
Earlier work this paper cites.
Fractional statistics and the quantum Hall effect
D. Arovas, J.R. Schrieffer, and F. Wilczek · 1984
Earlier work this paper cites.
Fifteen problems in mathematical physics
B. Simon · 1984
Earlier work this paper cites.
Quantized Hall conductance as a topological invariant
Q. Niu, D.J. Thouless, and Y.-S. Wu · 1985
Earlier work this paper cites.
Quantization of the Hall conductance for general, multiparticle Schrödinger Hamiltonians
J.E. Avron and R. Seiler · 1985
Earlier work this paper cites.
Valence bond ground states in isotropic quantum antiferromagnets
I. Affleck, T. Kennedy, E.H. Lieb, and H. Tasaki · 1988
Earlier work this paper cites.
Quantum Hall effect and the relative index for projections
J.E. Avron, R. Seiler, and B. Simon · 1990
Earlier work this paper cites.
Histories of adiabatic quantum transitions
M.V. Berry · 1990
Earlier work this paper cites.
Linear adiabatic theory. Exponential estimates
G. Nenciu · 1993
Earlier work this paper cites.
The Statistical Mechanics of Lattice Gases
B. Simon · 1993
Earlier work this paper cites.
Chaotic classical and half-classical adiabatic reactions: geometric magnetism and deterministic friction
M.V. Berry and J.M. Robbins · 1993
Earlier work this paper cites.
Quantum annealing: a new method for minimizing multidimensional functions
A.B. Finnila, M.A. Gomez, C. Sebenik, C. Stenson, and J.D. Doll · 1994
Earlier work this paper cites.
Operator Algebras and Quantum Statistical Mechanics 2
O. Bratteli and D.W. Robinson · 1997
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T. Kadowaki and H. Nishimori · 1998
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J.E. Avron and A. Elgart · 1999
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A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda · 2001
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Elementary exponential error estimates for the adiabatic approximation
G.A. Hagedorn and A. Joye · 2002
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S. Teufel · 2003
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Dynamics of a quantum phase transition and relaxation to a steady state
J. Dziarmaga · 2010
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S. Bravyi and M.B. Hastings · 2011
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Condendsed Matter in a Nutshell
G.D. Mahan · 2011
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Automorphic equivalence within gapped phases of quantum lattice systems
S. Bachmann, S. Michalakis, S. Nachtergaele, and R. Sims · 2012
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Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
A. del Campo, M.M. Rams, and W.H. Zurek · 2012
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V. Gritsev and A. Polkovnikov · 2012
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