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Fractional Quantum Hall Effect in Suspended
Fractional Quantum Hall Effect in Suspended

... Since at present there are no reliable Hall-bar measurements in SG, it is tempting to use the two-terminal conductance for extracting the components of the conductivity tensor σxx and σxy . However, the two-terminal conductance depends simultaneously on σxx , σxy and sample geometry, and thus ’decon ...
Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics,
Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics,

... the reported results, which need to be further investigated. While a constant translational motion requires at least two bodies (otherwise it is trivial due to Lorentz symmetry), a single spinning object can experience friction [32], a phenomenon closely connected to superradiance first introduced b ...
The Spectral Theorem for Unitary Operators Based on the S
The Spectral Theorem for Unitary Operators Based on the S

Jagiellonian University M. Smoluchowski Institute of Physics Entropy
Jagiellonian University M. Smoluchowski Institute of Physics Entropy

2.3 Lecture 7: Binary collisions
2.3 Lecture 7: Binary collisions

... • reflection to complete the interchange the initial and final relative momenta, ÈpÕ1 , pÕ2 |T|p1 , p2 Í = È≠R2 R1 pÕ1 , ≠R2 R1 pÕ2 |T|≠R2 R1 p1 , ≠R2 R1 p2 Í = Èp1 , p2 |T|pÕ1 , pÕ2 Í, One can apply the ideas of kinetic theory to other systems with a large number of d.o.f. For example, a very large ...
Calculation of Van der Waals interaction strength between rubidium
Calculation of Van der Waals interaction strength between rubidium

... small algorithms have already been shown that yield high fidelity gates. The idea of using Rydberg states for so-called neutral atom quantum gates for quantum computing, was proposed in 2000 (Jaksch et al., 2000, Lukin et al., 2001) and has accumulated interest over the years.[5] Rydberg atoms are a ...
New Class of Quantum Error-Correcting Codes for a Bosonic Mode
New Class of Quantum Error-Correcting Codes for a Bosonic Mode

... photon number mod 3 and the logical code words already obey the quantum error-correction condition for the photon gain error: hW σ jâ↠jW σ 0 i ¼ ðn̄ þ 1Þδσσ 0 . As a special case, one can choose to protect only against Ē 01 ¼ fÎ; â; n̂g achieved by the same Fock-state coefficients as with the ...
The solution of the “constant term problem” and the ζ
The solution of the “constant term problem” and the ζ

The Double Slit Experiment and Quantum Mechanics∗
The Double Slit Experiment and Quantum Mechanics∗

Discovery of the Higgs Particle
Discovery of the Higgs Particle

The inequality of charge and spin diffusion coefficients
The inequality of charge and spin diffusion coefficients

Continuous configuration time-dependent self
Continuous configuration time-dependent self

... are usually constructed by imposing orthogonal condition explicitly, making it hard to use more than a few configurations in numerical implementation. Furthermore, the resulting equations for MC-TDSCF are very complicated compared to those in SC-TDSCF method. For these reasons, MC-TDSCF has only bee ...
Consciousness-Based Education
Consciousness-Based Education

... joinings of disciplinary knowledge. But the chief criticism of interdisciplinary studies—leveled even by its proponents—is that looking at an issue from multiple perspectives does not, in itself, enable one to find the common ground among contrasting viewpoints, to resolve conflicts, and to arrive a ...
Chapter 3: Quantum Computing
Chapter 3: Quantum Computing

... amplitudes of all basis states is 1. This sum remains invariant due to the application of a unitary transformations. The Hilbert space Hn is the set of all possible such linear superpositions. QC is a method of computation where various operations can be executed on these superpositions: • unitary o ...
Universally valid reformulation of the Heisenberg uncertainty
Universally valid reformulation of the Heisenberg uncertainty

... The above relation shows that the Heisenberg noisedisturbance uncertainty relation, Eq. 共2兲, holds if the correlation term 兩 具 关 N(A),B in 兴 典 ⫹ 具 关 A in ,D(B) 兴 典 兩 vanishes. In order to characterize a class of measurements satisfying Eq. 共2兲, we introduce the following definition. The measuring in ...
Quantum Information Processing: Algorithms, Technologies and
Quantum Information Processing: Algorithms, Technologies and

... values is a basis state denoted |a >. Quantum mechanics allows for a linear superposition (also termed an entangled quantum state) of these basis states to exist simultaneously. Each basis state |a > of the superposition is assigned a given complex amplitude α; this is denoted α|a >. Unitary transfo ...
Public Keys and Private Keys Quantum Cryptography
Public Keys and Private Keys Quantum Cryptography

... Quantum cryptography and classical cryptography essentially deal with the same tasks, such as, just to mention a few, private communication, message authentication, zero knowledge proofs etc. The big difference is that the communication is done using qubits instead of classical bits. Due to the basi ...
Dimers on the triangular kagome lattice "
Dimers on the triangular kagome lattice "

... liquid. Correspondingly, it was established in both of these cases that there exist finite regions of parameter space where the ground state is a gapped spin liquid with deconfined ...
Seminar Quantum Field Theory - Institut für Theoretische Physik III
Seminar Quantum Field Theory - Institut für Theoretische Physik III

Field theoretic approach that forms a bijection between
Field theoretic approach that forms a bijection between

... density. The inambiquity of this interpretation is studied further in Sec. III. The question, what kind of Hamiltonian densities can interpret a classical particle motion, is studied there. The conditions for such a Hamiltonian density, given as a sum of the kinetic energy density and the potential ...
Aalborg Universitet
Aalborg Universitet

... near E0 in the lower half plane. In the case, where we have smoothness, but not analyticity, we take x0 + iI(x0 ) as the “resonance”. Using the form of F (z, ε) given in Eq. (6) one can show that |x0 + iI(x0 ) − zr | . ε2 |yr |, ...
The statistical interpretation according to Born and Heisenberg
The statistical interpretation according to Born and Heisenberg

Functional Form of the Imaginary Part of the Atomic Polarizability
Functional Form of the Imaginary Part of the Atomic Polarizability

the PDF - JILA - University of Colorado Boulder
the PDF - JILA - University of Colorado Boulder

Measuring Containment of Viable Infectious Cell Sorting
Measuring Containment of Viable Infectious Cell Sorting

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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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