Condensed Matter Approaches to Quantum Gases
... [3] in magnetic traps has stimulated an enormous revival of the interest in macroscopic quantum behavior of dilute gases at low temperature. Up to this discovery the main emphasis had been on the development of efficient evaporative [4] and optical cooling [5] methods to reach the critical temperatu ...
... [3] in magnetic traps has stimulated an enormous revival of the interest in macroscopic quantum behavior of dilute gases at low temperature. Up to this discovery the main emphasis had been on the development of efficient evaporative [4] and optical cooling [5] methods to reach the critical temperatu ...
The Spectral Theorem for Unitary Operators Based on the S
... The right spectrum σR (T ) of T is associated with the right eigenvalue problem, i.e. the search for nonzero vectors satisfying T (v) = vs. It is important to note that if s is an eigenvalue, then all quaternions belonging to the sphere r −1 sr, r ∈ H \ {0}, are also eigenvalues. But observe that th ...
... The right spectrum σR (T ) of T is associated with the right eigenvalue problem, i.e. the search for nonzero vectors satisfying T (v) = vs. It is important to note that if s is an eigenvalue, then all quaternions belonging to the sphere r −1 sr, r ∈ H \ {0}, are also eigenvalues. But observe that th ...
Quantum One-Way Communication is Exponentially Stronger Than
... often depends on what exactly we mean by “compute using as little communication as possible.” One of the central models in this area is that of randomized (bounded-error) communication. Here we allow the players to toss coins, and require them to output the correct answer with probability at least ( ...
... often depends on what exactly we mean by “compute using as little communication as possible.” One of the central models in this area is that of randomized (bounded-error) communication. Here we allow the players to toss coins, and require them to output the correct answer with probability at least ( ...
Quantum state-resolved probing of strong-field
... expected to be greater than that of the m = ±3/2 sublevels, as observed experimentally. To verify the reliability of the measured polarization anisotropy, a separate set of measurements is performed for the 2 P1/2 → 2 D3/2 transition, for which no anisotropy is observed. This result agrees with the ...
... expected to be greater than that of the m = ±3/2 sublevels, as observed experimentally. To verify the reliability of the measured polarization anisotropy, a separate set of measurements is performed for the 2 P1/2 → 2 D3/2 transition, for which no anisotropy is observed. This result agrees with the ...
Differentiation of vectors
... two or three variables mapping to a scalar is called a scalar field. As we saw in Chapter 1 (using different ...
... two or three variables mapping to a scalar is called a scalar field. As we saw in Chapter 1 (using different ...
Entangling Dipole-Dipole Interactions and Quantum Logic in Optical
... We see that neither MF1 , MF 2 , nor the total MF1 + M F2 is a conserved quantity. The fact that these are not good quantum numbers can be seen immediately from the form of the interaction Hamiltonian, Eq. (1b), which is neither a scalar with respect to rotations by hyperfine operators Fˆ1 , Fˆ 2 , ...
... We see that neither MF1 , MF 2 , nor the total MF1 + M F2 is a conserved quantity. The fact that these are not good quantum numbers can be seen immediately from the form of the interaction Hamiltonian, Eq. (1b), which is neither a scalar with respect to rotations by hyperfine operators Fˆ1 , Fˆ 2 , ...
history of quantum computing
... Quantum mechanics has certain bizarre features which do not occur in standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any fur ...
... Quantum mechanics has certain bizarre features which do not occur in standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any fur ...
Düren (ppt 10,1MB)
... When integrated over x, one gets the momentum density. When integrated over p, one gets the probability density. ...
... When integrated over x, one gets the momentum density. When integrated over p, one gets the probability density. ...
