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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 ddimensional quantum Heisenberg model are given by the spectrum of the d \Gamma 1dimensional Laplacian on an suitable domain. Keywords: Anisotropic Heisenberg ferromagnet, ..."
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Cited by 2 (1 self)
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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 ddimensional quantum Heisenberg model are given by the spectrum of the d \Gamma 1dimensional Laplacian on an suitable domain. Keywords: Anisotropic Heisenberg ferromagnet
The quantum structure of spacetime at the Planck scale and quantum fields
 COMMUN. MATH. PHYS. 172, 187–220 (1995)
, 1995
"... We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We outl ..."
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Cited by 332 (6 self)
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We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We
Quantum Diffusion in Separable dDimensional
"... Abstract We study the electronic transport in quasiperiodic separable tightbinding models in one, two, and three dimensions. First, we investigate a onedimensional quasiperiodic chain, in which the atoms are coupled by weak and strong bonds aligned according to the Fibonacci chain. The associated ..."
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ddimensional quasiperiodic tilings are constructed from the product of d such chains, which yields either the square/cubic Fibonacci tiling or the labyrinth tiling. We study the scaling behavior of the mean square displacement and the return probability of wave packets with respect to time. We
3njsymbols and Ddimensional quantum gravity
, 1994
"... The model which generalizes Ponzano and Regge 3D and CarforaMartelliniMarzuoli 4D euclidean quantum gravity is considered. The euclidean EinsteinRegge action for a Dsimplex is given in the semiclassical limit by a gaussian integral of a suitable 3njsymbol. 1 On leave from Department of Physics, ..."
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The model which generalizes Ponzano and Regge 3D and CarforaMartelliniMarzuoli 4D euclidean quantum gravity is considered. The euclidean EinsteinRegge action for a Dsimplex is given in the semiclassical limit by a gaussian integral of a suitable 3njsymbol. 1 On leave from Department of Physics
Entanglement in the quantum Heisenberg XY model.
 Phys. Rev. A
, 2001
"... We study the entanglement in the quantum Heisenberg XY model in which the socalled W entangled states can be generated for 3 or 4 qubits. By the concept of concurrence, we study the entanglement in the time evolution of the XY model. We investigate the thermal entanglement in the twoqubit isotrop ..."
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Cited by 6 (0 self)
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We study the entanglement in the quantum Heisenberg XY model in which the socalled W entangled states can be generated for 3 or 4 qubits. By the concept of concurrence, we study the entanglement in the time evolution of the XY model. We investigate the thermal entanglement in the two
Loop Equations for the ddimensional nHermitian Matrix model
, 1993
"... We derive the loop equations for the ddimensional nHermitian matrix model. These are a consequence of the SchwingerDyson equations of the model. Moreover we show that in leading order of large N the loop equations form a closed set. In particular we derive the loop equations for the n = 2 k matri ..."
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We derive the loop equations for the ddimensional nHermitian matrix model. These are a consequence of the SchwingerDyson equations of the model. Moreover we show that in leading order of large N the loop equations form a closed set. In particular we derive the loop equations for the n = 2 k
Quantum renormalization of high energy excitations in the 2D Heisenberg antiferromagnet
, 2000
"... Abstract. We find using Monte Carlo simulations of the spin1/2 2D square lattice nearest neighbour quantum Heisenberg antiferromagnet that the high energy peak locations at (π,0) and (π/2,π/2) differ by about 6%, (π/2,π/2) being the highest. This is a deviation from linear spin wave theory which pr ..."
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interacting spins are located on a twodimensional square lattice. Although simple to formulate, the Heisenberg model is not exactly solvable in dimensions greater than one, and approximations or numerical calculations are needed to compare the predictions of the Heisenberg model to experiments. For the 2D
Quantum Impurities in the TwoDimensional Spin OneHalf Heisenberg Antiferromagnet
, 2002
"... The study of randomness in lowdimensional quantum antiferromagnets is at the forefront of research in the field of strongly correlated electron systems, yet there have been relatively few experimental model systems. Complementary neutron scattering and numerical experiments demonstrate that the spi ..."
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for this complex quantumimpurity problem. 1 The field of lowdimensional quantum magnetism has been of enormous interest to the condensedmatter physics community ever since the discovery that La2CuO4, the parent compound of the original hightemperature superconductor (La,Ba)2CuO4, is a model twodimensional (2D
The Quantum Ferromagnetic Heisenberg Model Quantum Hamiltonian
, 2013
"... The HolsteinPrimakoff (HP) bosonic representation of the QFHM. 2 The regime with spin S → ∞ and β = O(S−1) [CS1]: Main result [CG]: Free Energy (FE) asymptotics as S →∞. Sketch of the proof: upper and lower bounds. 3 The regime with spin S = 12 and β → ∞ [CS2,T]: Main result [CGS]: sharp upper boun ..."
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The HolsteinPrimakoff (HP) bosonic representation of the QFHM. 2 The regime with spin S → ∞ and β = O(S−1) [CS1]: Main result [CG]: Free Energy (FE) asymptotics as S →∞. Sketch of the proof: upper and lower bounds. 3 The regime with spin S = 12 and β → ∞ [CS2,T]: Main result [CGS]: sharp upper bound to the FE as β →∞.
Results 1  10
of
1,745