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Relaxation Time Of Anisotropic Simple Exclusion Processes And Quantum Heisenberg Models
, 2002
"... Motivated by an exact mapping between anisotropic half integer spin quantum Heisenberg models and asymmetric diffusions on the lattice, we consider an anisotropic simple exclusion process with N particles in a rectangle of Z . Every particle at row h tries to jump to an arbitrary empty site at row h ..."
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Cited by 16 (2 self)
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Motivated by an exact mapping between anisotropic half integer spin quantum Heisenberg models and asymmetric diffusions on the lattice, we consider an anisotropic simple exclusion process with N particles in a rectangle of Z . Every particle at row h tries to jump to an arbitrary empty site at row
Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
, 2008
"... dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio α = J ′ /J. The critical point of the order-disorder quantum phase transition in the J-J ′ model is determined as αc = 2.5 ..."
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dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio α = J ′ /J. The critical point of the order-disorder quantum phase transition in the J-J ′ model is determined as αc = 2
A Continuum Approximation for the Excitations of the (1, 1, ..., 1) Interface in the Quantum Heisenberg model
, 1999
"... : It is shown that, with an appropriate scaling, the energy of lowlying excitations of the (1; 1; : : : ; 1) interface in the d-dimensional quantum Heisenberg model are given by the spectrum of the d \Gamma 1-dimensional Laplacian on an suitable domain. Keywords: Anisotropic Heisenberg ferromagnet, ..."
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: It is shown that, with an appropriate scaling, the energy of lowlying excitations of the (1; 1; : : : ; 1) interface in the d-dimensional quantum Heisenberg model are given by the spectrum of the d \Gamma 1-dimensional Laplacian on an suitable domain. Keywords: Anisotropic Heisenberg ferromagnet
PRL 101, 127202 (2008) PHYSICAL REVIEW LETTERS Evidence for an Unconventional Universality Class from a Two-Dimensional Dimerized Quantum Heisenberg Model
, 2008
"... The two-dimensional J-J0 dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio J0 =J. The critical point of the order-disorder quantum phase transition in the J-J0 model is de ..."
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The two-dimensional J-J0 dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio J0 =J. The critical point of the order-disorder quantum phase transition in the J-J0 model
Critical Behavior of the 3D anisotropic quantum Heisenberg model in a trimodal random field distribution
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Quantum complexity theory
- in Proc. 25th Annual ACM Symposium on Theory of Computing, ACM
, 1993
"... Abstract. In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s model of a quantum Turing machine (QTM) [Proc. Roy. Soc. London Ser. A, 400 (1985), pp. 97–117]. This constructi ..."
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Cited by 574 (5 self)
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Abstract. In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s model of a quantum Turing machine (QTM) [Proc. Roy. Soc. London Ser. A, 400 (1985), pp. 97
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