Quantum Thermodynamics - Open Research Exeter
... that the erased system dissipates to a surrounding environment, cf. Fig. 1, in equilibrium at temperature T . The erasure of one bit, or “reset”, here refers to the change of a system being in one of two states with equal probability, 12 (i.e. 1 bit), to a definite known state, |0i (i.e. 0 bits). (W ...
... that the erased system dissipates to a surrounding environment, cf. Fig. 1, in equilibrium at temperature T . The erasure of one bit, or “reset”, here refers to the change of a system being in one of two states with equal probability, 12 (i.e. 1 bit), to a definite known state, |0i (i.e. 0 bits). (W ...
The Ghost in the Quantum Turing Machine
... every experiment on living organisms there must remain some uncertainty as regards the physical conditions to which they are subjected, and the idea suggests itself that the minimal freedom we must allow the organism will be just large enough to permit it, so to say, to hide its ultimate secrets fr ...
... every experiment on living organisms there must remain some uncertainty as regards the physical conditions to which they are subjected, and the idea suggests itself that the minimal freedom we must allow the organism will be just large enough to permit it, so to say, to hide its ultimate secrets fr ...
PDF: Aspden et al 2016 b
... trajectory). Such a photon cannot exist, as the uncertainty principle requires us to modify these mental models. Yet these notions are so widespread that they have led to suggestions that physicists ought to receive special training and a license before being allowed to use the word “photon.”1 Such ...
... trajectory). Such a photon cannot exist, as the uncertainty principle requires us to modify these mental models. Yet these notions are so widespread that they have led to suggestions that physicists ought to receive special training and a license before being allowed to use the word “photon.”1 Such ...
Do You Need to Believe in Orbitals to Use Them - Philsci
... the constituents of the system and their interactions, and a less detailed, but often more useful, explanation in terms of more familiar chemical categories. This situation is analogous to whether one considers air resistance in the theoretical consideration of projectile motion, or whether one con ...
... the constituents of the system and their interactions, and a less detailed, but often more useful, explanation in terms of more familiar chemical categories. This situation is analogous to whether one considers air resistance in the theoretical consideration of projectile motion, or whether one con ...
On the mean-field limit of bosons Coulomb two
... Although our main results are restricted to bosons, all of the following rather general formalism remains unchanged for fermions. We therefore consider both bosonic and fermionic statistics throughout Sections 3 – 6. Details on systems of fermions will appear elsewhere. Throughout the following we c ...
... Although our main results are restricted to bosons, all of the following rather general formalism remains unchanged for fermions. We therefore consider both bosonic and fermionic statistics throughout Sections 3 – 6. Details on systems of fermions will appear elsewhere. Throughout the following we c ...
Dilations, Poduct Systems and Weak Dilations∗
... unitary. The inner product on the tensor product is hx ¯ y, x0 ¯ y 0 i = y, hx, x0 iy 0 . For a detailed introduction to Hilbert modules (adapted to our needs) we refer to Skeide [Ske01a], for a quick reference (without proofs) to Bhat and Skeide [BS00]. Formally, product systems appear as a general ...
... unitary. The inner product on the tensor product is hx ¯ y, x0 ¯ y 0 i = y, hx, x0 iy 0 . For a detailed introduction to Hilbert modules (adapted to our needs) we refer to Skeide [Ske01a], for a quick reference (without proofs) to Bhat and Skeide [BS00]. Formally, product systems appear as a general ...
Photoemission studies of quantum well states in thin films
... was clear but the quantum well peaks were very broad, again due to ®lm roughness. Later work, however, clearly established the importance of quantum size effects in ®lms [19±25]. The argument that photoemission senses only the top few atomic layers and is therefore insensitive to the ®lm thickness i ...
... was clear but the quantum well peaks were very broad, again due to ®lm roughness. Later work, however, clearly established the importance of quantum size effects in ®lms [19±25]. The argument that photoemission senses only the top few atomic layers and is therefore insensitive to the ®lm thickness i ...
An Introduction to Applied Quantum Mechanics in the Wigner Monte
... functions (Keldysh), and still they provide the very same predictions as the Schrödinger equation. In a sense, the situation is not any different than classical mechanics where different, but mathematically equivalent, formalisms (such as Newtonian, Langrangian, Hamiltonian, etc.) can be utilized ...
... functions (Keldysh), and still they provide the very same predictions as the Schrödinger equation. In a sense, the situation is not any different than classical mechanics where different, but mathematically equivalent, formalisms (such as Newtonian, Langrangian, Hamiltonian, etc.) can be utilized ...
Can Molecules Have Permanent Electric Dipole Moments?
... both of which are invariant under time reversal) while T-IJT = -J. If the state JIJa is nondegenerare, the time reversal symmetry of the Hamiltonian requires T$ja = eisJIJo. This equation will still hold if two levels of stereoisomers are degenerate since time reversal symmetry will not interconvert ...
... both of which are invariant under time reversal) while T-IJT = -J. If the state JIJa is nondegenerare, the time reversal symmetry of the Hamiltonian requires T$ja = eisJIJo. This equation will still hold if two levels of stereoisomers are degenerate since time reversal symmetry will not interconvert ...
States and Operators in the Spacetime Algebra
... In Section 3 the Dirac algebra is studied using the full, relativistic STA. The STA form of the Dirac equation is derived and a table of Dirac spinor bilinear covariants in STA form is presented. In Section 4 a similar approach is presented for the Weyl representation, and it is shown how the 2-spin ...
... In Section 3 the Dirac algebra is studied using the full, relativistic STA. The STA form of the Dirac equation is derived and a table of Dirac spinor bilinear covariants in STA form is presented. In Section 4 a similar approach is presented for the Weyl representation, and it is shown how the 2-spin ...
Quantum Cohomology via Vicious and Osculating Walkers
... obtained by setting êλ êμ = δλμ êλ is isomorphic to Fn,k The same basis has been employed in [24, Thm 10.11] to provide an alternative derivation of the presentation (1.1). They are identical with the Bethe vectors of the so-called XX-Heisenberg spin chain [24, Rm 10.3] and, thus, one can ident ...
... obtained by setting êλ êμ = δλμ êλ is isomorphic to Fn,k The same basis has been employed in [24, Thm 10.11] to provide an alternative derivation of the presentation (1.1). They are identical with the Bethe vectors of the so-called XX-Heisenberg spin chain [24, Rm 10.3] and, thus, one can ident ...
Aalborg Universitet The effect of time-dependent coupling on non-equilibrium steady states
... va , vb ∈ R, v ∈ L∞ ((a, b)). The quantum well is identified with the interval (a, b), (or physically, with the three-dimensional region (a, b)×R2 ). The regions (−∞, a) and (b, ∞) (or physically (−∞, a) × R2 and (b, ∞) × R2 ), are the reservoirs. Schrödinger operators with step-like potentials wer ...
... va , vb ∈ R, v ∈ L∞ ((a, b)). The quantum well is identified with the interval (a, b), (or physically, with the three-dimensional region (a, b)×R2 ). The regions (−∞, a) and (b, ∞) (or physically (−∞, a) × R2 and (b, ∞) × R2 ), are the reservoirs. Schrödinger operators with step-like potentials wer ...
Resonances, dissipation and decoherence in exotic and artificial atoms
... to compute quantum dot spectra. Among the most common examples, one can mention density functional theory [29–31], configuration interaction [32–34], Hartree-Fock calculations [35–37], quantum Monte Carlo methods [38–40], variational techniques [41–43] or many-body perturbation theory [44]. The nece ...
... to compute quantum dot spectra. Among the most common examples, one can mention density functional theory [29–31], configuration interaction [32–34], Hartree-Fock calculations [35–37], quantum Monte Carlo methods [38–40], variational techniques [41–43] or many-body perturbation theory [44]. The nece ...
Introduction to the Bethe Ansatz II
... invariant subspaces with r = 1, . . . , N/2. Using the iterative process (9), we can determine the energies of these states with high precision (Problem 6). The red circles in Fig. 2(a) represent the quantity [E(STz ) − EF ]/JN for N = 32. The solid line connects the corresponding results for N = 20 ...
... invariant subspaces with r = 1, . . . , N/2. Using the iterative process (9), we can determine the energies of these states with high precision (Problem 6). The red circles in Fig. 2(a) represent the quantity [E(STz ) − EF ]/JN for N = 32. The solid line connects the corresponding results for N = 20 ...
Photon pairs with coherence time exceeding 1 μs
... (not shown in Fig. 1) are switched off and all the atoms are optically pumped to the ground level j1i. During the biphoton generation time, phase-matched Stokes (ωs ) and anti-Stokes (ωas ) paired photons are produced in opposing directions along the MOT longitudinal z axis in the presence of the co ...
... (not shown in Fig. 1) are switched off and all the atoms are optically pumped to the ground level j1i. During the biphoton generation time, phase-matched Stokes (ωs ) and anti-Stokes (ωas ) paired photons are produced in opposing directions along the MOT longitudinal z axis in the presence of the co ...
Rationally Speaking Episode 133: Sean Carroll on “The Many
... Because, again, we're not positing many, many worlds. We are taking the formalism of quantum mechanics that is always there. The Hilbert space, that we call it, which is where the wave function lives, it’s the mathematical structure that a particular quantum state is an element of. The Hilbert spac ...
... Because, again, we're not positing many, many worlds. We are taking the formalism of quantum mechanics that is always there. The Hilbert space, that we call it, which is where the wave function lives, it’s the mathematical structure that a particular quantum state is an element of. The Hilbert spac ...