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Path Resummations and the Fermion Sign Problem
Path Resummations and the Fermion Sign Problem

... “graphs”, rather than “paths”. The latter, being rooted in Feynman’s “realspace imaginary-time” path-integral (PI) theory [2–4], has been the paradigmatic approach to simulating quantum systems at finite temperature. For Fermion systems, however, there persists the infamous sign problem [5]. In the p ...
Reversible vs. Quantum Computing
Reversible vs. Quantum Computing

... considered as logic gates differ from traditional logic gates in that the same physical hardware can act as a different gate at different times. For example, after being used as an NDRAG(A:0→1) gate, the same NFET can later be used as an NDRAG(A:1→0) gate, which will undo any change to B, if G is st ...
Nitrate and Nitrite Ultraviolet Actinometers - SUNY-ESF
Nitrate and Nitrite Ultraviolet Actinometers - SUNY-ESF

... nitrate concentration was increased to 100 mM for absorption measurements made above 330 nm, while nitrite was increased to 10 mM for measurements above 400 nm. All absorbance measurements were made in a 10 cm quartz cell using a Hewlett Packard UV– visible spectrophotometer (model HP 8453). Absorpt ...
Notes on Functional Analysis in QM
Notes on Functional Analysis in QM

What is matter? The fundamental ontology of atomism and structural
What is matter? The fundamental ontology of atomism and structural

... is reason to assume that the scheme that we set out in this paper will also work for quantum field theory: a primitive ontology of permanent point particles that are characterized by the spatial relations in which they stand and a dynamical structure that captures the change in these spatial relatio ...
The Computational Complexity of Linear Optics
The Computational Complexity of Linear Optics

Theoretical Investigations Regarding Single Molecules
Theoretical Investigations Regarding Single Molecules

An Introduction to Applied Quantum Mechanics in the Wigner Monte
An Introduction to Applied Quantum Mechanics in the Wigner Monte

... Right after the birth of the Schrödinger equation, other formulations (and interpretations) of quantum mechanics appeared, sheding light on aspects that were hardly understandable in the standard formalism. In this perspective, the work of E. Wigner stands out among these alternative (but completel ...
1 Transport of Dirac Surface States
1 Transport of Dirac Surface States

Coarse graining and renormalization: the bottom up approach
Coarse graining and renormalization: the bottom up approach

Haag`s Theorem in Renormalisable Quantum Field Theories
Haag`s Theorem in Renormalisable Quantum Field Theories

... • First, all approaches to construct quantum field models in a way seen as mathematically sound and rigorous employ methods from operator theory and stochastic analysis, the latter only in the Euclidean case. This is certainly natural given the corresponding heuristically very successful notions use ...
The Timing of Conscious Experience: A Causality
The Timing of Conscious Experience: A Causality

Eikonal Approximation K. V. Shajesh
Eikonal Approximation K. V. Shajesh

NUCLEAR MAGNETIC RESONANCE QUANTUM COMPUTATION
NUCLEAR MAGNETIC RESONANCE QUANTUM COMPUTATION

Advanced Quantum Field Theory Lent Term 2013 Hugh Osborn
Advanced Quantum Field Theory Lent Term 2013 Hugh Osborn

Elec-‐ph. and ph.-‐ph. coupling in semiconductors and bismuth
Elec-‐ph. and ph.-‐ph. coupling in semiconductors and bismuth

... 1. Obtain matrices U and functions ψkn on a Nkw k-point grid from Wannier90 2. Calculate the dynamical matrices and derivatives of VSCF on the Nkw q-point grid reduced by symmetries (ph.x) 3. Use symmetries to obtain the derivatives of VSCF on the full Nkw q-point (dfile_star.f90 already included in ...
New Class of Quantum Error-Correcting Codes for a Bosonic Mode
New Class of Quantum Error-Correcting Codes for a Bosonic Mode

... We construct a new class of quantum error-correcting codes for a bosonic mode, which are advantageous for applications in quantum memories, communication, and scalable computation. These “binomial quantum codes” are formed from a finite superposition of Fock states weighted with binomial coefficient ...
PDF - at www.arxiv.org.
PDF - at www.arxiv.org.

... After exploring the quantum correlations, we show that the same models of lightmatter interactions that were used to generate them can be simulated in a much broader regime of coupling strengths. The exploration of these models outside their native regimes is not only of fundamental interest, but wi ...
Nonlinear response of a driven vibrating nanobeam in the quantum...
Nonlinear response of a driven vibrating nanobeam in the quantum...

... dynamical variable which moves in an anharmonic potential. Depending on the strain  being below ( < c ) or above ( > c ) the critical value, a monostable or bistable situation can be created. The conditions for macroscopic quantum tunnelling to occur have been estimated for the bistable case. I ...
Universal Long-Time Behavior of Nuclear Spin Decays in a Solid
Universal Long-Time Behavior of Nuclear Spin Decays in a Solid

Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation

Spin-orbit coupling effects in two
Spin-orbit coupling effects in two

... by the presence of the spin-orbit coupling? In general, the usual (isotropic) exchange changes its magnitude while a new, functionally different form of exchange, called anisotropic, appears, breaking the spin-rotational symmetry. Such changes are a nuisance from the perspective of the error correcti ...
Full Text - University of Arizona
Full Text - University of Arizona

... optical potential depends on the atom’s internal spin state [22]. The lattice’s morphology can now be modified through variation of the laser polarization, as well as intensity, lattice phase, etc. The earliest proposals for quantum logic in optical lattices via controlled collisions involved transp ...
Spin-entangled electrons - Theoretical Physics at University of
Spin-entangled electrons - Theoretical Physics at University of

Inconsistencies of the Adiabatic Theorem and the Berry Phase
Inconsistencies of the Adiabatic Theorem and the Berry Phase

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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