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Quantum Criticality - Subir Sachdev
Quantum Criticality - Subir Sachdev

Coulombic interactions in the fractional quantum Hall effect: from
Coulombic interactions in the fractional quantum Hall effect: from

... temperature they reached (50 mK), two orders of magnitude smaller than that employed by Von Klitzing. In their setup they had a particle density of about 4.0 · 1015 m−2 and a magnetic field of less than 8T, corresponding to a magnetic length ` ∼ 157µm. In the absence of magnetic field, an electron g ...
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... the system (exactly as in the micro-canonical case). Let us get a few points cleared in the beginning. The energy E actually contains the kinetic and the potential parts. But equipartition of energy, where applicable, makes the average energy per degrees of freedom a function of temperature only. Te ...
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... Technology has increased the visibility and number of outside groups wishing to use UCSB’s FELs. The research highlight I have chosen for this year is described in an article entitled “Resonant Crossover of Terahertz Loss to the Gain of a Bloch Oscillating InAs/AlSb Superlattice” by P. G. Savvidis, ...
Marsden, Jerrold E. (1-CA)
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... 17. E. Marsden and A. Weinstein [1974] [1982a], The Hamiltonian structure of the Maxwell-Vlasov equations, Physica D 4, 394-406. MR0657741 (84b:82037) 18. E. Marsden and A. Weinstein [1974] [1982a] [1982b], Coadjoint orbits, vortices and Clebsch variables for incompressible fluids, Physica D (to app ...
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... We define a model of computation based on linear optics: n identical photons traveling through a network of poly(n) mirrors, phase-shifters, etc., then a single measurement of where the photons ended up Crucial point: No entangling interactions between pairs of photons needed! ...
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... wave function scarring,7 which causes a slow modulation of the variance 具 兩 ␺ ␮ (rជ ) 兩 2 典 as a function of the level index ␮ and the position rជ , although the RMT prediction for peakheight statistics remains valid for peaks at nearby energies.8 The scarring effect disappears in the limit of large ...
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... We have presented a simple model that requires knowledge only of two-level systems. Nonetheless, it allows us to explain interesting effects about one-particle quantum interference: Quantum interference appears when a particle can take different indistinguishable paths to arrive at a detector. The k ...
( ) = e−ax - Illinois State Chemistry
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... ) , where n is a positive integer and a is a constant. The range of x % a ( is 0 to a. (You will have to look up the integral in a table.) For a normalized wavefunction Ψnorm , the integral over all space must be equal to 1. ...
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... be true) and exhaustive (one of the propositions is certainly true). Such a set of mutually exclusive and exhaustive propositions has sometimes been called a logical spectrum, and we shall, for brevity, adopt that terminology. I1) Suppose now that we confront in a physical laboratory a complex syste ...
Chapter 17 - Probing Deep into Matter
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... Book page 177/178 and discuss Feynmann diagrams There is a difference Dis 90O 'Identical particles - bosons and fermions Thats why you don't fall through the floor. Fermions (electron, proton, neutron, neutrino..) are matter particles (spin = 1/2) Bosons (photons, gluons, W and Z particles and gravi ...
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... cover the J/ψ meson, charmonium states, and the τ particle; the DESY colliders, which have been in operation roughly since 1960 to today, though most of the original colliders have been shut down, and used electron/positron beams to help discover quarks and B mesons and gluons; the Cornell Electron ...
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... Lepton Conservation • We are already familiar with many conservation laws in atomic and nuclear systems, such as the conservation of • 1. charge, • 2. mass/energy, • 3. linear momentum • 4. and angular momentum. • In atomic physics we know that the application of these laws leads to selection rules ...
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... – Are they classical or quantum? – What is the state of the vacuum? – What is the origin of mass? – What is the quantum theory of gravity? ...
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... In such circumstances, if the second register (say) is discarded then the state of the first register remains  In general, the state of a two-register system may not be of the form   (it may contain entanglement or correlations) We can define the partial trace, Tr2  , as the unique linear opera ...
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... The nature of consciousness and the interpretation of quantum mechanics are two subjects that excite great interest. Even more exciting then is the idea percolating through certain quarters that there are deep and significant connections between the two. Among those who have advocated a quantum mech ...
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... • S. Kak, Quantum information and entropy, International Journal of Theoretical Physics 46, pp. 860-876, 2007. • S. Kak, Information complexity of quantum gates, International Journal of Theoretical Physics, vol. 45, pp. ...
Quantum Error-Correction Codes on Abelian Groups
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... Note that |x + C2  only depends on the coset of C1 /C2 to which x + C2 belongs. Also |x + C2  is orthogonal to |y + C2, if x and y are representatives of different cosets of C2 . The quantum code CSSG (C1 , C2 ) is defined on the vector space spanned by the states |x+C2  , where x ranges in C1 . I ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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