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Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated
Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated

Lattice QCD in Mainland China: Status and Perspectives
Lattice QCD in Mainland China: Status and Perspectives

... continuum to the energy of two-pion system in a finite cubic box, ...
2010
2010

Quantum Phases and Topological States in Optical Lattices
Quantum Phases and Topological States in Optical Lattices

... Figure 4: Multiple matter wave interference pattern observed at t = 15ms [5]. Sharp interference is observed for Vo < 10Er . The pattern becomes blurred if Vo is further increased. At about Vo = 20Er , the interference pattern vanishes. [3, 5]. About 105 number of 87 Rb atoms are immersed into the ...
A family of spin-S chain representations of SU(2) k Wess
A family of spin-S chain representations of SU(2) k Wess

Anisotropic pyrochlores and the global phase diagram of the checkerboard... Oleg A. Starykh, Akira Furusaki, and Leon Balents
Anisotropic pyrochlores and the global phase diagram of the checkerboard... Oleg A. Starykh, Akira Furusaki, and Leon Balents

... vertical chains Tv. The remainder is generated by ␲ / 2 rotations about a crossing, and reflections about, e.g., a vertical line through either a site or midpoint of a bond of a horizontal chain. We denote these two operations “site parity” Psh and “link parity” PLh, respectively. As these are micro ...
lecture3 - Unaab.edu.ng
lecture3 - Unaab.edu.ng

Monte Carlo Simulations of Quantum Spin Models - cond
Monte Carlo Simulations of Quantum Spin Models - cond

Hydrogen Atom
Hydrogen Atom

... What do the radial functions look like? Mostly they are an exponential decay multiplied by a polynomial. The polynomial gets higher order as n increases. Thus they all decay to zero as r goes to infinity. This is good. The electron should be mostly by the nucleus. They also get more “wiggly” as n in ...
Childress
Childress

... Coherence properties of nuclear spins 14N ...
Heat capacity as an indicator of entanglement
Heat capacity as an indicator of entanglement

Academia Sinica, Taipei, Taiwan, 06/2010, Yip Sungkit
Academia Sinica, Taipei, Taiwan, 06/2010, Yip Sungkit

... 2. For c3 = c4 = 0 mean field results 3. Gauge field A is U(1) and  is a scalar 4. The dual CFT (quiver SU(N) gauge theory) is known for some ƒ 5. By tuning ƒ we can reproduce different phase transitions ...
Quantum Spin Hall Effect in Graphene
Quantum Spin Hall Effect in Graphene

... Brillouin zone equivalent to K or K 0 , and d is the a basis vector from a hexagon center to an A or B sublattice site. We find that the matrix elements have precisely the structure (3), and using the Coulomb interaction Vr  e2 =r we estimate 2so  42 e2 @2 =3m2 c2 a3  2:4 K. This is a crud ...
Critical parameters for the heliumlike atoms: A phenomenological
Critical parameters for the heliumlike atoms: A phenomenological

... Symmetry breaking and phase changes of a quantum system can take place as some parameters in its Hamiltonian are varied. For such transitions, crossing the phase boundary means that the quantum ground-state changes in some fundamental way.1 In atomic and molecular physics, it has been suggested that ...
Introduction: effective spin
Introduction: effective spin

... • Enough spins to detect bulk properties: critical exponents can be obtained with 20- ...
Magnetic Resonance Force Microscopy
Magnetic Resonance Force Microscopy

Physics 505 Homework No. 9 Solutions S9
Physics 505 Homework No. 9 Solutions S9

... to a square box, 0 ≤ x ≤ L and 0 ≤ y ≤ L. We are not interested in the z-motion, so this is a 2D problem. (a) Obtain the energies and eigenfunctions. What is the degeneracy of the few lowest ...
sachdev.physics.harvard.edu Lecture notes arXiv:1010.0682 arXiv
sachdev.physics.harvard.edu Lecture notes arXiv:1010.0682 arXiv

... semi-holographic of metals by Nickel and Son. They argued that there is generically an emergent gauge field Aµ which links the UV fields (the ‘electrons’, cα ) to the IR fields near the horizon (the ‘spinons’, fα ). In addition, they had a Goldstone boson which broke the U(1)×U(1)ext symmetry to U(1 ...
Harmonic oscillator
Harmonic oscillator

... n) the energy difference between two levels vanishes, ∆E E = (n+1/2)~ω ≈ 0; thus the energy becomes continuous, as it would be in the classical case. Still, to find a quantum-to-classical correspondence it is not enough to choose a stationary eigenstate of the Hamiltonian with a high energy (high n) ...
Defense Presentation
Defense Presentation

... analyze an oscillator’s motion with its quantum dynamics continuously throughout external interaction, with a more unified model than what we’ve seen in the literature ...
Magnetism: Models and Mechanisms - cond
Magnetism: Models and Mechanisms - cond

... This interaction yields an energy gain if the two electrons occupy two different p orbitals with parallel spins, hence favors the state with the largest spin (first Hund’s rule). It turns out that for the p2 configuration there is only one possible multiplet with S = 1, and such a state has L = 1. T ...
Slide 1
Slide 1

... run from left to right: g= 0, 1 or 2 For a broad range of parameters, there is only one running solution, and then the electrons are fully polarized! ...
Poster PDF (4.8mb)
Poster PDF (4.8mb)

... the thermal distribution (fixed T). At the cooling rate, the energy changes by a motional quantum (up or down), weighted by the ratio of Boltzmann factors. If the energy is smaller than the lattice depth it stays localized at that site. Otherwise the ion follows the external displacement in the shal ...
Introduction to DMRG - International Institute of Physics
Introduction to DMRG - International Institute of Physics

... • Suddenly, it was realized that the ideas behind much of DMRG were already known in quantum information • DMRG is now known as the natural 1D low entanglement approximation • This has led to many major advances in what we can do with DMRG related methods… ...
Griffiths-McCoy singularities in the random transverse-field Ising spin chain Ferenc Iglo´i
Griffiths-McCoy singularities in the random transverse-field Ising spin chain Ferenc Iglo´i

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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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