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8. Quantum field theory on the lattice
8. Quantum field theory on the lattice

... The Wilson loops become exponentially small (∼ e−σRT ) as the size increases. However, the statistical noise is ∼ constant in magnitude independent of loop size! Thus, we need to increase the number of measurements exponentially as the loop size increases. ...
Some Open Problems in Exactly Solvable Models
Some Open Problems in Exactly Solvable Models

... These investigations based on various methods (Algebraic Bethe Ansatz, quantum Knizhnik-Zamolodchikov equation, quantum groups, etc.) allowed for the very first time to obtain information about the short and large distance asymptotic behavior of correlation functions of models not equivalent to free ...
Relation between the field quadratures and the characteristic
Relation between the field quadratures and the characteristic

... of researchers because of the great possibilities they have to produce non-classical states of both, the mirror and field states [1]. The possibilities to generate non-classical states, and in particular a superposition of coherent states of the quantized field are because of the Kerr like Hamiltoni ...
Collapse and Revival in the Jaynes-Cummings
Collapse and Revival in the Jaynes-Cummings

Quasidistributions in nonlinear quantum optics
Quasidistributions in nonlinear quantum optics

... It is well known from the papers by R.J. Glauber [1, 2] published in 1963, founding the modern quantum optics, that optical processes having completely quantum behavior, i.e. having no classical analogue, are described by means of quasidistributions, e.g. using the weighting function in the diagonal ...
Informal note on Topology, Geometry and Topological Field Theory
Informal note on Topology, Geometry and Topological Field Theory

PowerPoint file of HBM_Intro _part I
PowerPoint file of HBM_Intro _part I

... diversity of the relations that exist between objects that play a role  A simple model has a small diversity of its relations. ...
The principle of relativity and the De Broglie relation - Loreto
The principle of relativity and the De Broglie relation - Loreto

... claim that, in a later stage, the relation should be revisited in a full relativistic framework, such as the one pedagogically presented in this paper. For instance, in a second course in electromagnetism or in quantum mechanics (wherein special relativity may appear again, this quantum example can ...
SECOND DRAFT FOR
SECOND DRAFT FOR

QUANTUM FIELD THEORY ON CURVED
QUANTUM FIELD THEORY ON CURVED

... [36], Dimock [15], Bros et al. [8]) uses real-time/Lorentzian signature and algebraic techniques reminiscent of P(ϕ)2 theory from the Hamiltonian point of view [24]. In contrast, the present treatment uses the Euclidean functional integral [25] and Osterwalder-Schrader quantization [40, 41]. Experie ...
sachdev.physics.harvard.edu Lecture notes arXiv:1010.0682 arXiv
sachdev.physics.harvard.edu Lecture notes arXiv:1010.0682 arXiv

Niels Bohr - Nobel Lecture
Niels Bohr - Nobel Lecture

Entangled Quartet
Entangled Quartet

... or wave­type detection set­up — but not in both. However, in the quantum world that we live in, it is possible to place, for example, a single photon simultaneously in all boxes such that correlations are observed in both detec­ tion set­ups. And this is exactly what Choi et al.2 have done in their ...
Nonperturbative quantum geometries
Nonperturbative quantum geometries

Quantum Thermodynamics - Open Research Exeter
Quantum Thermodynamics - Open Research Exeter

... that the erased system dissipates to a surrounding environment, cf. Fig. 1, in equilibrium at temperature T . The erasure of one bit, or “reset”, here refers to the change of a system being in one of two states with equal probability, 12 (i.e. 1 bit), to a definite known state, |0i (i.e. 0 bits). (W ...
Quantum Degeneracy in Two Dimensional Systems
Quantum Degeneracy in Two Dimensional Systems

Semiclassical formula for the number variance of the Riemann zeros
Semiclassical formula for the number variance of the Riemann zeros

Quantum Manipulation of Two-Electron Spin States in
Quantum Manipulation of Two-Electron Spin States in

... first loaded in the charging dot [position L in Fig. 2(b)] and initialized in the singlet ground state by waiting longer than the relaxation time; second, the electrons are brought on microsecond time scales to position A; third, we scan the system with a two-pulse procedure: one microsecond pulse t ...
Planetary motion, the hydrogen atom, and superintegrablity
Planetary motion, the hydrogen atom, and superintegrablity

... Newton’s Gravitational force 2 1. We know today that Newton’s equation for planetary motion, the 2-body problem, can be solved explicitly, not just numerically, because it is of maximal symmetry. It admits 3 independent symmetries and this is the maximum possible in two dimensions. It is a very imp ...
Some QuantumMechanical Considerations in the Theory of
Some QuantumMechanical Considerations in the Theory of

... which will be based on the assumption that there is a definite probability for a system, which has crossed the transition state, to be reflected back to the transition state. This probability will be denoted by Pi and Pf for crossings from left to right and right to left, respectively. It will be as ...
Bohmian Trajectories of the Two-Electron Helium Atom
Bohmian Trajectories of the Two-Electron Helium Atom

CHEM-UA 127: Advanced General Chemistry I
CHEM-UA 127: Advanced General Chemistry I

... If we could neglect the electron-nuclear interaction, then the wave function would be a simple product Ψ(x, R) = ψelec (x)ψnucl (R). However, we cannot neglect this term, but it might still be possible to write the wave function as a product. We note, first, that most nuclei are 3-4 orders of magnit ...
Quantum Physics and the Holy Grail BRIAN JOHN PICCOLO
Quantum Physics and the Holy Grail BRIAN JOHN PICCOLO

Shock waves, rarefaction waves and non
Shock waves, rarefaction waves and non

QUANTUM AND CLASSICAL STRONG DIRECT
QUANTUM AND CLASSICAL STRONG DIRECT

... chosen such that for most inputs, most of the k instances can be computed quickly and without any error probability. This leaves enough resources to solve the few hard instances with high success probability. Hence for his functions, with T ≈ tk, one can achieve average success probability close to ...
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Hidden variable theory

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