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Random Matrix Theory
Random Matrix Theory

Thermodynamics of finite magnetic two-isomer systems
Thermodynamics of finite magnetic two-isomer systems

... ordered phases being ‘‘first-order like’’. We have to emphasize that this classification is drawn by analogy. Unlike other small systems like those considered by Cheng et al.,5 it does not make sense to ask if the ‘‘transition’’ observed would become a true first-order phase transition in the limit ...
From Irrational to Non-Unitary: on the Haffnian and Haldane
From Irrational to Non-Unitary: on the Haffnian and Haldane

The physical origin of NMR - diss.fu
The physical origin of NMR - diss.fu

... accounts for the return of xy-magnetization back to equilibrium z-magnetization at a rate 1/T1 by energy exchange processes between the elongated nuclear spins and the spins of the surrounding matter, generally called the lattice. The recovery of z-magnetization after an rf pulse is described by a f ...
Quantum simulation of the Hubbard model: The attractive route
Quantum simulation of the Hubbard model: The attractive route

... the “ultimate goal” of the theory of strongly correlated systems. In the most interesting regime, this model describes a system of spin- 21 共i.e., two species of兲 fermions hopping on a 2D square lattice with repulsive 共on-site兲 interactions and average lattice filling of less than one fermion per si ...
Bose-glass and Mott-insulator phase in the disordered boson Hubbard model
Bose-glass and Mott-insulator phase in the disordered boson Hubbard model

... involves various approximations7 and we stress right from the beginning that we report exclusively on results for the classical model ~3!. However, as far as universal properties are concerned, we expect them to be valid also for Eq. ~1!. The random part v i of the local chemical potential is distri ...
arXiv:1705.06742v1 [cond-mat.quant-gas] 18
arXiv:1705.06742v1 [cond-mat.quant-gas] 18

Iizuka-11-11-09
Iizuka-11-11-09

... information paradox  Hawking’s argument is quite robust; it works as far as black hole horizon is formed by gravitational collapse  Since after horizon is formed, the vacuum looks completely thermal, so black hole radiates thermally  This thermal radiation is parameterized only by the temperature ...
Notes - Particle Theory
Notes - Particle Theory

Quantum non-‐equilbrium dynamics in closed systems. - Indico
Quantum non-‐equilbrium dynamics in closed systems. - Indico

... his is known as the Kapitza effect (or Kapitza pendulum) and there are many demonstrations This is known as the Kapitza effect (or Kapitza pendulum) and there are many demonst w it works. In Fig. 2 we show the phase space portrait of the kicked rotor at different values of how it works. In Fig. 2 we sh ...
Density profiles in open superdiffusive systems
Density profiles in open superdiffusive systems

... Reflecting boundaries. We now generalize the discrete model by assuming that a particle reaching the left or right boundary while performing a step of length m is reflected with probability r (0  r  1). Upon reflection, it completes the step moving in the opposite direction. This extension is of c ...
Microsoft Word - ANL_form6
Microsoft Word - ANL_form6

... logarithmic corrections were derived by representation theoretical tools. Asymptotically, the scaling dimensions show a degeneracy growing exponentially with one of the quantum numbers. The physical relevance of these results is that any correlation function (of either bosonic or fermionic local fie ...
Ultra-robust high-field magnetization plateau and supersolidity in
Ultra-robust high-field magnetization plateau and supersolidity in

... Recent experimental studies in ultrahigh magnetic fields suggest that superliquid and supersolid phases could be realized in the geometrically frustrated spinels, with chromium at the B site (11, 22–24). The identification of supersolid spin states can be based on the analogy of boson and spin syste ...
Instructions for use Title Coulomb staircase and total spin
Instructions for use Title Coulomb staircase and total spin

... negative bias and reflects the degeneracy of the states relevant to the transition. This has been shown theoretically first for the case with a single orbit18,19 and extended13 to the case with M orbits (M ⬎1). The saturation current at the transition between N and N⫹1 for the positive and negative ...
Quantum liquid of repulsively bound pairs of particles in a lattice
Quantum liquid of repulsively bound pairs of particles in a lattice

... Considering next two particles in a periodic potential, according to Eq. (1), the state |2j i with two particles localized at the same site has an energy offset U from the state |1j i |1i i with i 6= j. The transition between states |1j i |1i i and |2j i is therefore non-resonant and is suppressed w ...
Permutational Quantum Computation
Permutational Quantum Computation

... How do the representations of      look in this  basis? ...
Paper
Paper

... when the system starts to become incompressible. As in Ref. [12], all points on this plot are in the high-temperature single-band regime (T is less than the band gap but greater than the bandwidth). For the temperatures plotted in Fig. 3, the agreement between the two methods is reasonably good, and ...
Cumulants and partition lattices.
Cumulants and partition lattices.

... are given distinct labels may be equal, say X 2 = X 3 with probability one, so this is not a limitation. As virtually everyone who has worked with cumulants, from Kaplan (1952) to Speed and thereafter, has noted, the general results are most transparent when all random variables are taken as distinc ...
Spin and orbital Kondo effect in electrostatically coupled quantum dots S. L
Spin and orbital Kondo effect in electrostatically coupled quantum dots S. L

... E = ±2h ± ΔE, enter the region between the Fermi levels of the leads from opposite sides (Fig. 3b). This happens for bias voltages equal to the positions of the satellite peaks. The peaks in the DOS outside the energy region marked by the dashed vertical lines in Fig 3b do not play any role in the c ...
Probability density of quantum expectation values
Probability density of quantum expectation values

... The probability density PA (a) has been first considered in a series of works [5, 6, 7, 8, 9] which introduced the so called “quantum microcanonical equilibrium” (QME), an alternative statistical mechanics based on a generalization of the postulate of equal a-priori probability. This postulate state ...
Quantum Phase Transitions
Quantum Phase Transitions

... extent (from 0 to β). As T → 0, we get the same (infinite) limits for a d + 1 effective classical system. This equivalent mapping between a d-dimension quantum system and a d + 1-dimensional classical system allows for great simplifications in our understanding of QPT. Since we know that the quantum ...
Solid state Stern-Gerlach spin-splitter for magnetic field sensoring
Solid state Stern-Gerlach spin-splitter for magnetic field sensoring

The AdS/CFT correspondence and condensed matter physics
The AdS/CFT correspondence and condensed matter physics

... The AdS/CFT correspondence is one of the most influential conjectures that has been discovered recently in theoretical physics. It was first stated by Juan Maldacena [16] for a particular highly symmetric quantum field theory called N = 4 super Yang-Mills in four space-time dimensions, and a string ...
Spin Qubits for Quantum Information Processing
Spin Qubits for Quantum Information Processing

Product Vacua with Boundary States
Product Vacua with Boundary States

... {θij (α) | 1 ≤ i, j ≤ nL + nR }, for α = 0, 1, an interpolating path along which the gap does not close can be constructed as follows. First, one may apply a strictly local unitary to perform a change of basis in spin space such that both are PVBS expressed in the same spin basis and such that λi (α ...
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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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