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spin squeezing and quantum entanglement in interaction
spin squeezing and quantum entanglement in interaction

... entangled. Spin squeezing can also be used as a measure of entanglement in multi-atom system. Sorenson et al., 2002 proposed a criterion to quantify the entanglement in term of spin squeezing parameter. According to the definition of Sorensen et. al., a state having squeezing parameter ξ < 1 is an e ...
Quantum defect theory description of weakly bound levels and Feshbach...
Quantum defect theory description of weakly bound levels and Feshbach...

... combinations of single channel solutions (fi , gi ) in the appropriate long range potential for each channel i. In the present context, of course, those are van der Waals long range potentials in every channel. For other applications, a simpler ‘frame transformation (FT) approximation’ that we abbre ...
Entanglement Theory and the Second Law of Thermodynamics
Entanglement Theory and the Second Law of Thermodynamics

... This will turn out to be the central quantity in this work as it will emerge as the unique entanglement quantifier. Operations – The correct choice of the set of operations employed is crucial for establishing reversibility in entanglement manipulation. To motivate this choice it is instructive to n ...
A generalized entropy measuring quantum localization
A generalized entropy measuring quantum localization

... the time scale (the so-called break-time or Heisenberg time) on which quantum time evolution saturates due to the discreteness of the spectrum (see, e.g., [10]). (ii) Barrier action of tori and cantori: Localization on quantized invariant tori is well described within the semiclassical ebktheory. T ...
Theory and experimental verification of Kapitza-Dirac-Talbot
Theory and experimental verification of Kapitza-Dirac-Talbot

... Kapitza and Dirac in 1933 [14], but nearly seventy years passed before the idea was experimentally implemented [15]. In contrast to that, the first optical phase grating for atoms was already realized in 1983 [16, 17] when a standing laser light field was tuned near to an atomic resonance in order t ...


... with kB  B=v (see below). For each wire, the lowenergy sector in S2k i q; ! then splits in two, located at q  2ki , see Fig. 2(b). The scale T0 is B dependent and vanishes at a certain field B0 , T0 B  jB  B0 j [see Eq. (11) below]. At jB  B0 j & T, the backscattering contribution to Rd ...
Introduction to Quantum Information Science
Introduction to Quantum Information Science

... based on quantum mechanics storing quantum information in a quantum bit, inherently has the ability to be in superposition states as well as entangle with other qubits naturally. The next major step came in 1985 when David Deutsch was searching for a device that could eciently simulate an arbitrary ...
Fractional topological ordered phases.
Fractional topological ordered phases.

... as interactions with point defects and other obstacles along their way. In fact, one can show that the state of motion of electrons as well as other of their properties such as their magnetic moment (or ‘spin’) are ‘protected’ or robust’ and do not change as they move around within the TIs, which wa ...
douglas c. giancoli
douglas c. giancoli

Quantifying Entanglement
Quantifying Entanglement

... expectation values; it says nothing whatever regarding the states that a particle is really in. EPR believed that a “complete” physical theory ought in its formalism to account for all “elements of reality,” and so for them these other parameters were crucial for the sake of quantum theory’s complet ...
Full-Text PDF
Full-Text PDF

[235] JPhysConfSer_702(2016)012001
[235] JPhysConfSer_702(2016)012001

Duncan-Dunne-LINCS-2016-Interacting
Duncan-Dunne-LINCS-2016-Interacting

Parametric evolution of eigenstates: Beyond perturbation theory and
Parametric evolution of eigenstates: Beyond perturbation theory and

A family of spin-S chain representations of SU(2) k Wess
A family of spin-S chain representations of SU(2) k Wess

Shock waves, rarefaction waves_LUCAS_Accepted
Shock waves, rarefaction waves_LUCAS_Accepted

... generalization to arbitrary c has been verified by timedependent density matrix renormalization group (DMRG) methods on quantum spin chains [27–30]. Moreover, the exact generating function of energy current fluctuations has also been determined [13,17,18]. In Ref. [12] we discussed this nonequilibri ...
Tensor product, direct sum
Tensor product, direct sum

Quantization as a Kan extension
Quantization as a Kan extension

... In 2007 Urs Schreiber mused on the blog ‘The n-Category Café’ that: Quantum mechanics, which has historically been considered as a structure internal to 0Cat, has a more natural formulation as a structure internal to 1Cat. This involves refining functions to “bundles of numbers” (namely fibered cat ...
The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions c.
The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions c.

... unitary transformation by Dickinson and Certain. 7 Another very useful technique called the discrete position operator representation, which is again closely related to the DVR methods, has also been formulated by Kanfer and Shapiro8 and is now being widely used. The FOH method, described in detail ...
Conclusive exclusion of quantum states
Conclusive exclusion of quantum states

... the wrong preparation with probability q. Note that 0  q  1/2, as Bob will always have the option of randomly guessing the description without performing an observation. If χ1 ∩ χ2 = ∅, then, even if Bob has access to the complete description of the system, λ, q > 0 as there will exist λ compat ...
1. You are given one of two quantum states of a single qubit: either
1. You are given one of two quantum states of a single qubit: either

... for any unitary operator U on C 2 , (U ⊗U)|Ψ− i = |Ψ− i. 3. Show that if U and V are unitary, then so is U ⊗V . If U and V are both unitary, then each can be written in some basis as a diagonal matrix with only complex phases eiφn along the diagonal. Since operators in a tensor product act on differ ...
5. Physikalisches Institut
5. Physikalisches Institut

... sites; the intersite separation ‘ can be changed in real time, easing the preparation of a given atom number in each well (e.g., by performing evaporative cooling with different energy offsets in each site), and the detection of the population in each well (before imaging, V0 may be increased to fre ...
Classical Field Theory - Imperial College London
Classical Field Theory - Imperial College London

Quantum Position Verification in the Random Oracle Model
Quantum Position Verification in the Random Oracle Model

... the stadium. Since it is crucial that no-one outside of the stadium is able to access this information they decided to verify the devices by their location. The simplest way of achieving position verification is to place a device (the verifier) in the middle of the stadium. Let Victor take over the ...
Hydrogen atom in phase space: the Wigner representation
Hydrogen atom in phase space: the Wigner representation

... In figure 1, we have depicted contours of 4π r 2 k 2 Wψ100 (r, k, θ ) for selected values of θ . In all figures, we have fixed the scale setting the Bohr radius a = 1. These figures should be compared with the only published numerical results obtained 22 years ago in [5]. In figure 2, we have depict ...
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Quantum state

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