Después de visitar las páginas de detalles de productos, consulta aquí para volver fácilmente a las páginas que te han interesado. A wide range of relevant topics has also been provided: quantum phase transitions, various measures of quantum information, the effects of disorder and frustration, quenching dynamics and the Kibble-Zurek scaling relation, the Kitaev model, topological phases of quantum systems, and bosonisation. /V 5 0 R /R [46 27 302 739 ] endobj Variation an der Kasse je nach Lieferadresse. endobj endobj in the Hopﬁeld model in a transverse ﬁeld in thermal equi-librium @5#. Spin chains: bosonization; 21. << Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. II. RIS, This site uses cookies. This system undergoes a transition at zero temperature from a phase with infinite susceptibility and continuously variable exponents to a ferromagnetic phase via a quantum critical point characterized by tunneling scaling'' with energy Omega and length scales, L, related by ln Omega ~ Lpsi. When T∞. /N 16 0 R The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety of interconnected subjects which are covered in this book. Observation of a magnetically controllable Jahn Teller distortion in dysprosium vanadate at low temperatures. /N 31 0 R This observation motivates us to investigate dy-namical properties of the Ising model under quantum ﬂuc-tuations in the form of a transverse ﬁeld. /P 14 0 R This limit is not independent of l. In the special case that the random bonds are symmetrically distributed about the lth row, the geometric mean of S∞(l) is computed and shown to vanish exponentially rapidly when T-->Tc-. >> Dilute Fermi and Bose << Boundary Effects, Theory of a Two-Dimensional Ising Model with Random Impurities. Citation . /P 14 0 R In FeCl2 a polymorphic transformation (presumably between CdCl2 and CdI2 structure types) is observed near 2 kbar, which is accompanied by a 12% increase in the transition field. Zugelassene Drittanbieter verwenden diese Tools auch in Verbindung mit der Anzeige von Werbung durch uns. C: Solid State Phys. Todos los derechos reservados. >> TmAsO4 undergoes a cooperative Jahn-Teller distortion at 6.0 K. At Tc at which a cooperative distortion back to the high-temperature phase occurs. Preise inkl. << /V 25 0 R Finden Sie alle Bücher, Informationen zum Autor. Whenever T-Tc=O(N-2), the average spin-spin correlation function for two spins on the boundary is shown to approach its limit at infinite separation as some inverse power of the separation instead of as an exponential. 35 0 obj We therefore discuss in this paper the transverse Ising model with a vari-ety of exchange interactions. /N 34 0 R The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. If you have a user account, you will need to reset your password the next time you login. stream 10 0 obj /N 7 0 R /V 12 0 R Figures. PbLSZTLEE(8E@'*1mg_*eTnN*;*'V3+gm-EEetX%;Bo$ur2ss*N`.-!.kG_q6GDD' Raman-scattering measurements on K${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$reveal a broad, low-frequency ferroelectric mode which can be represented by a simple damped-harmonic-oscillator function. endobj The behavior near T=0 is studied in the isotropic case by considering the N-->∞ limit with TN fixed, while in the anisotropic case we must hold T2N fixed as N-->∞. At Tc this average correlation function behaves asympotically as N-2 (lnmN-2)-1 when m the separation between boundary spins, is large. In this manner we obtain the T=0 result that if the interaction is stronger in the x direction, then rhoNx approaches a constant exponentially while rhoNy approaches zero exponentially as N-->∞. gases; 17. Number 15, R B Stinchcombe 1973 J. Phys. /V 3 0 R The resultant characteristic frequency and reciprocal zero-frequency susceptibility approach zero while the damping factor remains constant as$T$approaches${T}_{c}\$ from above. The perturbation series is classified with respect to the small parameter 1/z, where z is the number of psins interacting with a given spin; this generates the molecular-field approximation and the random-phase approximation as the lowest-order description of the thermodynamic functions and correlation functions respectively. Article information. Außerdem analysiert es Rezensionen, um die Vertrauenswürdigkeit zu überprüfen. In the case that this probability is a particular distribution with a narrow width, we find that the logarithmic singularity of Onsager's lattice is smoothed out into a function which at Tc is infinitely differentiable but not analytic. /Filter [/ASCII85Decode /LZWDecode ] Ask Question Asked 7 months ago. endobj For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. [/CalRGB Comment: 27 pages, 20 figures, Transverse Ising System in Higher Dimensions (Pure Systems), Transverse Ising Spin Glass and Random Field Systems, Finding Quantum Critical Points with Neural-Network Quantum States, Modeling Spin Dynamics in the Singlet Ground State Garnet Ho3Ga5O12, Investigation of Zero-Temperature Transverse-Field Ising Models With Long-Range Interactions, Quantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactions, Real time evolution with neural-network quantum states, Ising model in a light-induced quantized transverse field, Classical Simulation of High Temperature Quantum Ising Models, Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench, Studying viral populations with tools from quantum spin chains, Experimental classification of quenched quantum walks by dynamical Chern number, Neutron scattering investigation of proposed Kosterlitz-Thouless transitions in the triangular-lattice Ising antiferromagnet TmMgGaO4, Quantum Renormalization of the l 1 -norm and Relative Entropy of Coherence in Various Spin Chains, Influence of weak frustration on quench dynamics of 1D spin-1/2 ANNNI model, Tensor network descriptions of quantum entanglement in path integrals, thermalisation and machine learning, Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14, Bifurcation-based quantum annealing with nested spins, Growth of mutual information in a quenched one-dimensional open quantum many-body system, Quantum Ising chains with small-world couplings: No small-world effect at the quantum level; Stability of the quantum critical point, Response of macroscopic and microscopic dynamical quantifiers to the quantum critical region, Geometry of learning neural quantum states, Observation of E8 Particles in an Ising Chain Antiferromagnet, Improving performance of logical qubits by parameter tuning and topology compensation, Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems, Boundaries and unphysical fixed points in Dynamical Quantum Phase Transition, From the Ising model to Kitaev Chain - An introduction to topological phase transitions, Unitary Subharmonic Response and Floquet Majorana Modes, Group-theoretical approach to the calculation of quantum work distribution, Critical slowing down and entanglement protection, Boundaries and Unphysical Fixed Points in Dynamical Quantum Phase Transitions, Functional field integral approach to quantum work, Dynamical quantum phase transitions in extended toric-code models, Unveiling phase transitions with machine learning, Quantum Annealing: a journey through Digitalitalization, Control, and hybrid Quantum Variational schemes, Adiabatic dynamics of quasiperiodic transverse Ising model, Quaternary Jordan-Wigner mapping and topological extended-kink phase in the interacting Kitaev ring, Measuring a dynamical topological order parameter in quantum walks, Phase Diagram of the Quantum Random Energy Model, Enhancement in the performance of a quantum battery by ordered and disordered interactions, Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek, Domain-Specific Compilers for Dynamic Simulations of Quantum Materials on Quantum Computers, Exotic signature of dynamical quantum phase transition in the time evolution of engineered initial state, Population inversion and entanglement in single and double glassy Jaynes-Cummings models, Small, Highly Accurate Quantum Processor for Intermediate-Depth Quantum Simulations, Multipartite entanglement at dynamical quantum phase transitions with nonuniformly spaced criticalities, Observation of E 8 particles in an Ising chain antiferromagnet, Modular path integral for finite-temperature dynamics of extended systems with intramolecular vibrations, Signatures of inter-band transitions on dynamical localization, Scrambling dynamics and many-body chaos in a random dipolar spin model, Storing Infinite Numbers of Patterns in a Spin-Glass Model of Neural Networks, Quenching dynamics of a quantum XY spin- (1)/(2) chain in a transverse field, Quantum Annealing and Related Optimization Methods, An Overview of Quantum Monte Carlo Methods, Two-Dimensional Ising Model as a Soluble Problem of Many Fermions, Interacting Electrons and Quantum Magnetism, Toeplitz determinants.