Ising Quantum Chains
نویسنده
چکیده
Le travail est désormais assuré d'avoir toute la bonne conscience de son côté : la propensionà la joie se nomme déjà " besoin de repos " et commencè a se ressentir comme un sujet de honte. [...] Oui, il se pourrait bien qu'on en vˆıntà ne point céderà un penchant pour la vita contemplativa (c'est-` a-dire pour aller se promener avec ses pensées et ses amis) sans mauvaise conscience et mépris de soi-même.
منابع مشابه
High order perturbation study of the frustrated quantum Ising chain
In this paper, using high order perturbative series expansion method, the critical exponents of the order parameter and susceptibility in transition from ferromagnetic to disordered phases for 1D quantum Ising model in transverse field, with ferromagnetic nearest neighbor and anti-ferromagnetic next to nearest neighbor interactions, are calculated. It is found that for small value of the frustr...
متن کاملNon-Periodic Ising Quantum Chains and Conformal Invariance
In a recent paper, Luck [1] investigated the critical behaviour of one-dimensional Ising quantum chains with couplings constants modulated according to general non-periodic sequences. In this short note, we take a closer look at the case where the sequences are obtained from (two-letter) substitution rules and at the consequences of Luck’s results at criticality. They imply that only for a cert...
متن کاملScaling behaviour of the relaxation in quantum chains
We consider the nonequilibrium time evolution of the transverse magnetization in the critical Ising and XX quantum chains. For some inhomogeneously magnetized initial states we derive analytically the transverse magnetization profiles and show that they evolve into scaling forms in the long-time limit. In particular it is seen that the Ising chain exhibits some similarities with the conserved d...
متن کاملLog-periodic corrections to scaling: exact results for aperiodic Ising quantum chains
Log-periodic amplitudes of the surface magnetization are calculated analytically for two Ising quantum chains with aperiodic modulations of the couplings. The oscillating behaviour is linked to the discrete scale invariance of the perturbations. For the Fredholm sequence, the aperiodic modulation is marginal and the amplitudes are obtained as functions of the deviation from the critical point. ...
متن کاملAperiodic Ising Quantum Chains
Some years ago, Luck proposed a relevance criterion for the effect of aperiodic disorder on the critical behaviour of ferromagnetic Ising systems. In this article, we show how Luck’s criterion can be derived within an exact renormalisation scheme for Ising quantum chains with coupling constants modulated according to substitution rules. Luck’s conjectures for this case are confirmed and refined...
متن کاملDynamic Monte Carlo Simulations for a Square-Lattice Ising Ferromagnet with a Phonon Heat Bath
We derive a direct connection between Monte Carlo time and physical time in terms of physical parameters, using a quantum Hamiltonian with a d-dimensional phonon heat bath interacting with a square-lattice Ising ferromagnet. Based on the calculated transition rates, we perform dynamic Monte Carlo simulations using absorbing Markov chains to measure the lifetimes of the metastable state at low t...
متن کامل