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PowerPoint - Subir Sachdev
PowerPoint - Subir Sachdev

Effective Quantum Spin Systems with Trapped Ions
Effective Quantum Spin Systems with Trapped Ions

... perpendicular to the 2D crystal would induce an antiferromagnetic Ising interaction. The decay would also be dipolar if the 2D vibrational modes transverse to the crystal plane are in the stiff limit. In all three experimental systems discussed above the simplest laser configuration consists of only ...
Correlation Functions and Diagrams
Correlation Functions and Diagrams

... Y  2πi 1/2 ...
spins_unit_operators_and_measurements
spins_unit_operators_and_measurements

... eigenvalues, but does not tell us about the original state or tell us that a similar measurement will yield the same result •MORE and MORE measurements do not minimize uncertainty in quantum measurements! It’s all probabilistic! •We will need to apply statistics to understand our measurements! Examp ...


... is d-electrons plasma frequency. But according to the coherence theory of matter we must adjust this plasma frequency of a factor 1.38. We can understand this correction by observing that the formula (26) is obtained assuming a uniform d-electron charge distribution. But of course the d-electron pla ...
Bose-Einstein Condensation and Free DKP field
Bose-Einstein Condensation and Free DKP field

... Bose–Einstein condensation [1, 2] (BEC) is a phenomenon long associated to the liquid helium studies (4 He and 3 He–4 He mixtures). However, recent research deals with BEC shown that it touches several areas of modern physics [3]: in thermodynamics [4] BEC occurs as a phase transition from gas to a ...
Ferromagnetic and antiferromagnetic order in bacterial vortex lattices
Ferromagnetic and antiferromagnetic order in bacterial vortex lattices

... systems can self-organize in highly ordered collective states2,3 that share striking similarities with the thermodynamic equilibrium phases4,5 of conventional condensed-matter and fluid systems. Examples range from the liquid-crystal-like arrangements of bacterial colonies6,7 , microbial suspensions ...
Carbon – Science and Technology
Carbon – Science and Technology

Simple_model
Simple_model

... equal a priori probability. Hence in the above example 4) each quantum state is equally likely. But this means that the lowest two configurations in the table are far more likely than any of the other configurations. They have far more states corresponding to the configuration. Since any property is ...
Completely Quantized Collapse and Consequences
Completely Quantized Collapse and Consequences

... The usual quantum rule for probabilities (the squared norm of a state in the superposition) gives the CSL probability of realization of that state. The measurement (reality) problem in standard quantum theory has often been phrased in terms of difficulties associated with the ill-defined collapse po ...
Neutron scattering from quantum condensed matter
Neutron scattering from quantum condensed matter

... time dependence of the dynamical susceptibility (proportional to S(q, t)) of the canonical spin glass Cu0.95Mn0.05 at its transition temperature, 26 K (ref. 11). S, scattering function; E, energy; q, momentum; t, time. Figure reprinted with permission from: a, ref. 5, © The American Physical Society ...
6 Field-Theoretical Methods in Quantum Magnetism
6 Field-Theoretical Methods in Quantum Magnetism

Finite size scaling for critical parameters of simple diatomic molecules
Finite size scaling for critical parameters of simple diatomic molecules

Magnetic investigation of zero-field-cooled dextran
Magnetic investigation of zero-field-cooled dextran

... value higher than the 13 mark. In conclusion, the temperature dependence of the ZFC magnetization of dextran-coated magnetite-based MF samples has been investigated in this study. Neither particle–particle interaction (low particle concentration) nor the particle size polydispersity profile, the latt ...
A short Introduction to Feynman Diagrams
A short Introduction to Feynman Diagrams

... are specified in terms of the incoming and outgoing momenta. • The previous point also leads to momentum conservation for the full diagram. The sum over all outgoing momenta is equal to the sum over all incoming momenta. To construct the amplitudes for a process one now does the following 1. Connect ...
Statistical Physics (PHY831): Part 1 - The foundations Course Outline
Statistical Physics (PHY831): Part 1 - The foundations Course Outline

... the formulation of the basics of partition functions, free energies and the foundations of equilibrium statistical mechanics. The term Statistical Mechanics was introduced by Gibbs at a meeting of the American Association for the Advancement of Science in Philadelphia in 1884. This was one of the ra ...
Redalyc.Atomic radiative corrections without QED: role of the zero
Redalyc.Atomic radiative corrections without QED: role of the zero

... The random zero-point radiation field (ZPF) of mean energy ~ω/2 per normal mode, taken as a real field, has been shown in a series of recent papers [1-3] to be responsible for the basic quantum properties of matter. In particular, the usual quantum description, as afforded e.g. by the Schrödinger e ...
Polarizability and Collective Excitations in Semiconductor Quantum
Polarizability and Collective Excitations in Semiconductor Quantum

... The polarizability can be inferred by the new position of the minimum of the confining potential, which is related to the expectation values x and y. Moreover the translational invariance of the Coulomb interaction prevents it to influence such expectations. These considerations would yield: ...
Percolation of Color Sources and the determination of the
Percolation of Color Sources and the determination of the

... 3.0 MeV, in reasonable agreement with recent experimental data. The number of the quark-gluon degrees of freedom equals 37.4±3.6 consistent with the formation of a ∼ 2+1 flavor QGP. CSPM constructs an analytic expression for the equation of state, the sound velocity Cs2 (ε, T ), of the QGP. The CSPM ...
2 Quantum Theory of Spin Waves
2 Quantum Theory of Spin Waves

... In Chapter 1, we discussed the angular momenta and magnetic moments of individual atoms and ions. When these atoms or ions are constituents of a solid, it is important to take into consideration the ways in which the angular momenta on different sites interact with one another. For simplicity, we wil ...
Experimental realization of Shor`s quantum factoring algorithm using
Experimental realization of Shor`s quantum factoring algorithm using

... effective pure ground state. As desired, only one line is retained in each multiplet with its position depending on strength and sign of the J-couplings. Here, the transition corresponds to all other spins in |0i. The state r1 is obtained from this state by applying a NOT on spin 7. c, Output spectr ...
Diamond NV centers for quantum computing and quantum
Diamond NV centers for quantum computing and quantum

... NV centers, the spins must each be entangled Figure 4. (a) Schematic for generating entanglement between distant spins. Two photons, each entangled with a different spin, interfere on a beam splitter (top). Detection of a with photons that are otherwise indistinguishable photon on each output port c ...
Controlling the dark exciton spin eigenstates by external magnetic field
Controlling the dark exciton spin eigenstates by external magnetic field

... for the angle θB and the DE Bloch sphere. Since in the Faraday configuration the magnetic field direction is aligned with the direction of the |+2 spin state, it follows that π/2 − θB is the angle between the Bloch sphere eigenstate axis and the direction of the magnetic field. Thus, as the magnitu ...
Matthew Neeley, , 722 (2009); DOI: 10.1126/science.1173440
Matthew Neeley, , 722 (2009); DOI: 10.1126/science.1173440

Ramsey Interference in One-Dimensional Systems: The Full
Ramsey Interference in One-Dimensional Systems: The Full

... mode approximation cannot be applied because these systems do not have macroscopic occupations of a single state, even at zero temperature. The non mean-field character of the multimode spin dynamics in 1D quasicondensates was first reported in experiments by Widera et al. [5]. However, this work di ...
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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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