Lecture 1
... • Entangled states may be useful in precission measurements. • Spin squeezed states can be generated with current technology. - Collisions between atoms build up the entanglement. - One can achieve strongly spin squeezed states. ...
... • Entangled states may be useful in precission measurements. • Spin squeezed states can be generated with current technology. - Collisions between atoms build up the entanglement. - One can achieve strongly spin squeezed states. ...
Quantum states in phase space • classical vs. quantum statistics
... Again, the Wigner function is bounded by 2/π, but this time it is a strictly positive function, namely a Gaussian function centred at α0 (see Fig. 7). If we recall the naive phase-space picture derived after Eq. (5.16) we see that we can associate the uncertainty area with the area determined by the ...
... Again, the Wigner function is bounded by 2/π, but this time it is a strictly positive function, namely a Gaussian function centred at α0 (see Fig. 7). If we recall the naive phase-space picture derived after Eq. (5.16) we see that we can associate the uncertainty area with the area determined by the ...
Lect 23 Presentation
... Pauli Exclusion Principle Heisenberg Uncertainty Principle To be consistent with the Heisenberg Uncertainty Principle, which of these properties can not be quantized (have the exact value known)? (more than one answer can be correct) Electron Orbital Radius ...
... Pauli Exclusion Principle Heisenberg Uncertainty Principle To be consistent with the Heisenberg Uncertainty Principle, which of these properties can not be quantized (have the exact value known)? (more than one answer can be correct) Electron Orbital Radius ...
t = |T – T c
... Part I: Phase Transitions, Critical Phenomena, and Scaling Part II: Soft Modes, and Generic Scale Invariance Part III: Soft Modes in Metals, and the Ferromagnetic Quantum Phase T ...
... Part I: Phase Transitions, Critical Phenomena, and Scaling Part II: Soft Modes, and Generic Scale Invariance Part III: Soft Modes in Metals, and the Ferromagnetic Quantum Phase T ...
Analysis of medical time series using methods of
... Measured are the three force and three momentum components, i.e. 6-dimensional multivariate time series ...
... Measured are the three force and three momentum components, i.e. 6-dimensional multivariate time series ...
Beating the Standard Quantum Limit
... of a physical quantity x are statistical variables; that is, they are randomly distributed according to a probability determined by the state of the system. A measure of the “sharpness” of a measurement is given by the spread ∆x of the outcomes: An example is given in (A), where the outcomes (tiny t ...
... of a physical quantity x are statistical variables; that is, they are randomly distributed according to a probability determined by the state of the system. A measure of the “sharpness” of a measurement is given by the spread ∆x of the outcomes: An example is given in (A), where the outcomes (tiny t ...
Effective gravitational interactions of dark matter axions
... when N particles made a transition from one state to another. ...
... when N particles made a transition from one state to another. ...
Relativity and Quantum Field Theory
... (b) The QFT must admit a unique Fock space formulation in which a total number operator appears that can be interpreted as acting on a state of the system and returning the total number of particles in that state. Condition (a) is supposed to encode the essential particle characteristic of localiza ...
... (b) The QFT must admit a unique Fock space formulation in which a total number operator appears that can be interpreted as acting on a state of the system and returning the total number of particles in that state. Condition (a) is supposed to encode the essential particle characteristic of localiza ...
Chapter 4 Molecular Dynamics and Other Dynamics
... just as the Verlet algorithm, it is time-reversible; (2) the system can be started naturally, with initial position q0 and initial momentum p0 = mv0 ; (3) more importantly, the symplectic algorithms A, B, and C have one important property that share with the original Hamiltonian system—they preserve ...
... just as the Verlet algorithm, it is time-reversible; (2) the system can be started naturally, with initial position q0 and initial momentum p0 = mv0 ; (3) more importantly, the symplectic algorithms A, B, and C have one important property that share with the original Hamiltonian system—they preserve ...
Indistinguishable particles in quantum mechanics
... neutrinos, hydrogen atoms, etc. They each have the same defining properties and behave the same way under the interactions associated with those properties. This brings us to yet another purely quantum effect, that of indistinguishable particles. Imagine we have two completely identical classical obje ...
... neutrinos, hydrogen atoms, etc. They each have the same defining properties and behave the same way under the interactions associated with those properties. This brings us to yet another purely quantum effect, that of indistinguishable particles. Imagine we have two completely identical classical obje ...
Quantum physics: Hot and cold at the same time Date:April 9
... well-known laws of statistical physics emerge from many small quantum parts of a system remains one of the big open questions in physics. Hot and Cold at the Same Time Scientists at the Vienna University of Technology have now succeeded in studying the behaviour of a quantum physical multi-particle ...
... well-known laws of statistical physics emerge from many small quantum parts of a system remains one of the big open questions in physics. Hot and Cold at the Same Time Scientists at the Vienna University of Technology have now succeeded in studying the behaviour of a quantum physical multi-particle ...
A little Big Bang
... gases of ultracold atoms, about one hundred million times colder than interstellar space and one hundred thousand times less dense than air, one can realize the phenomenon of Bose-Einstein condensation (BEC) in its purest form. In these ultradilute gases, over ninety-nine percent of the atoms, about ...
... gases of ultracold atoms, about one hundred million times colder than interstellar space and one hundred thousand times less dense than air, one can realize the phenomenon of Bose-Einstein condensation (BEC) in its purest form. In these ultradilute gases, over ninety-nine percent of the atoms, about ...
The Pauli Principle
... • The properties of bosons also explains that certain liquids, e.g., liquid Helium (the isotope Helium 4) become superfluid. This was discovered in 1937 by Kapitsa (Nobel 1978), Allen, and Misener and explained shortly after by Landau (Nobel 1962) and Bogoliubov. • Fermions can also become superflui ...
... • The properties of bosons also explains that certain liquids, e.g., liquid Helium (the isotope Helium 4) become superfluid. This was discovered in 1937 by Kapitsa (Nobel 1978), Allen, and Misener and explained shortly after by Landau (Nobel 1962) and Bogoliubov. • Fermions can also become superflui ...
Electricity at nanoscale
... Electrons are fermions and by the Pauli exclusion principle cannot exist in identical energy states. So at absolute zero they pack into the lowest available energy states and build up a "Fermi sea" of electron energy states. The Fermi level is the surface of that sea at absolute zero where no electr ...
... Electrons are fermions and by the Pauli exclusion principle cannot exist in identical energy states. So at absolute zero they pack into the lowest available energy states and build up a "Fermi sea" of electron energy states. The Fermi level is the surface of that sea at absolute zero where no electr ...
A Primer on Quantum Mechanics and Orbitals
... In class, we talked about a model of rotation in two dimensions, the so-called 'particle on a ring.' Another description of this model might be as a 2D rigid rotor, this contrasts to a 3D rigid rotor which captures much of the underlying physics behind rotating molecules and the angular motion of at ...
... In class, we talked about a model of rotation in two dimensions, the so-called 'particle on a ring.' Another description of this model might be as a 2D rigid rotor, this contrasts to a 3D rigid rotor which captures much of the underlying physics behind rotating molecules and the angular motion of at ...
