B. Nachtergaele, Interfaces and droplets in quantum lattice models, preprint, archived as mp arc/00369, 2000. Home/Search Document Details and Download
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Asymmetric Diffusion And The Energy Gap Above The 111.. - Caputo, Martinelli (Correct)
....ned by x;y2 : jx yj=1 y S y boundary conditions (1.1) where Z and 1 measures the anisotropy. Sometimes the parameter is expressed as = q q ) 2, 0 q 1, and the classical Ising model is recovered in the limit q 0. We refer in particular the reader to [1, 21, 14, 15, 16, 19, 3] and [22] As it is well known, the XXZ model has two ferromagnetically ordered translation invariant ground states, but also ground states that describe domain walls between regions of opposite sign of the spins. More precisely, for d 3 and using a quantum version of the Pirogov Sinai theory ....
B. Nachtergaele, Interfaces and droplets in quantum lattice models, preprint, archived as mp arc/00369, 2000.
Relaxation Time Of Anisotropic Simple Exclusion Processes.. - Caputo, Martinelli (2002) (2 citations) (Correct)
.... processes on Z related to models of di usion limited chemical reactions, are unitarily equivalent to certain anisotropic quantum Heisenberg Hamiltonian, known as XXZ models, that have received in recent years increasing attention in connection with the analysis of quantum domain walls (see [1] [11], 14] and references therein) Such an equivalence implies that the spectrum of (minus) the Markov generator of the process coincides with the spectrum of the quantum Hamiltonian. In particular the energy gap above the quantum ground state, a key quantity in the theory of quantum spin systems, ....
....vector n 2 H n such that H n = 0, which is given by n = h m h =n (m) jmi (m) hm h S m h : 4.4) Here q 2 (0; 1) is the anisotropy parameter linked to by the equation = 1 2 (q q ) 4. 5) The ground states n are interpreted as describing an interface pro le, [1, 11]. A fundamental question associated to the stability of such quantum interfaces is the positivity of the spectral gap [9, 10] The latter, denoted gap(H ) is de ned as the energy of the rst excited state, i.e. the rst non zero eigenvalue of the non negative operator H . Recently this ....
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B. Nachtergaele, Interfaces and droplets in quantum lattice models, preprint 2000, archived as mp arc/00-369
Asymmetric Diffusion And The Energy Gap Above The 111.. - Caputo, Martinelli (Correct)
.... Delta S 3 x S 3 y boundary conditions (1.1) where ae Z d and Delta 1 measures the anisotropy. Sometimes the parameter Delta is expressed as Delta = q q Gamma1 ) 2, 0 q 1, and the classical Ising model is recovered in the limit q 0. We refer in particular the reader to [1, 21, 14, 15, 16, 19, 3] and [22] As it is well known, the XXZ model has two ferromagnetically ordered translation invariant ground states, but also ground states that describe domain walls between regions of opposite sign of the spins. More precisely, for d 3 and using a quantum version of the Pirogov Sinai theory ....
B. Nachtergaele, Interfaces and droplets in quantum lattice models, preprint, archived as mp arc/00369, 2000.
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