3,009 research outputs found
Quantum initial condition sampling for linearized density matrix dynamics: Vibrational pure dephasing of iodine in krypton matrices
This paper reviews the linearized path integral approach for computing time
dependent properties of systems that can be approximated using a mixed
quantum-classical description. This approach is applied to studying vibrational
pure dephasing of ground state molecular iodine in a rare gas matrix. The
Feynman-Kleinert optimized harmonic approximation for the full system density
operator is used to sample initial conditions for the bath degrees of freedom.
This extremely efficient approach is compared with alternative initial
condition sampling techniques at low temperatures where classical initial
condition sampling yields dephasing rates that are nearly an order of magnitude
too slow compared with quantum initial condition sampling and experimental
results.Comment: 20 pages and 8 figure
On the Running of the Cosmological Constant in Quantum General Relativity
We present arguments that show what the running of the cosmological constant
means when quantum general relativity is formulated following the prescription
developed by Feynman.Comment: 5 page
Comment on ``Consistency, amplitudes and probabilities in quantum theory'' by A. Caticha
A carefully written paper by A. Caticha [Phys. Rev. A57, 1572 (1998)] applies
consistency arguments to derive the quantum mechanical rules for compounding
probability amplitudes in much the same way as earlier work by the present
author [J. Math. Phys. 29, 398 (1988) and Int. J. Theor. Phys. 27, 543 (1998)].
These works are examined together to find the minimal assumptions needed to
obtain the most general results
Comment on "Does Gluons Carry Half of the Nucleon Momentum?" by X. S. Chen et. al. (PRL103, 062001 (2009))
The authors claim to have found a "proper", "gauge-invariant" definition of a
charged-particle's momentum in gauge theory, which is more "superior" than the
textbook version. I show that their result arises from a misunderstanding of
gauge symmetry by generalizing the Coulomb gauge result indiscriminately and is
not physical
Discrete-time quantum walks: continuous limit and symmetries
The continuous limit of one dimensional discrete-time quantum walks with
time- and space-dependent coefficients is investigated. A given quantum walk
does not generally admit a continuous limit but some families (1-jets) of
quantum walks do. All families (1-jets) admitting a continuous limit are
identified. The continuous limit is described by a Dirac-like equation or,
alternately, a couple of Klein-Gordon equations. Variational principles leading
to these equations are also discussed, together with local invariance
properties
Comment on ``Validity of Feynman's prescription of disregarding the Pauli principle in intermediate states''
In a recent paper Coutinho, Nogami and Tomio [Phys. Rev. A 59, 2624 (1999);
quant-ph/9812073] presented an example in which, they claim, Feynman's
prescription of disregarding the Pauli principle in intermediate states of
perturbation theory fails. We show that, contrary to their claim, Feynman's
prescription is consistent with the exact solution of their example.Comment: 1 pag
Density pattern in supercritical flow of liquid He-4
A density functional theory is used to investigate the instability arising in
superfluid He as it flows at velocity u just above the Landau critical
velocity of rotons v_c. Confirming an early theoretical prediction by one of us
[JETP Lett. 39, 511 (1984)], we find that a stationary periodic modulation of
the density occurs, with amplitude proportional to (u-v_c)^{1/2} and wave
vector equal to the roton wave vector. This density pattern is studied for
supercritical flow both in bulk helium and in a channel of nanometer
cross-section.Comment: 4 pages, 6 figures. Submitted to Phys. Rev.
Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism
A generalization of symmetrized density matrices in combination with the
technique of generating functions allows to calculate the partition function of
identical particles in a parabolic confining well. Harmonic two-body
interactions (repulsive or attractive) are taken into account. Also the
influence of a homogeneous magnetic field, introducing anisotropy in the model,
is examined. Although the theory is developed for fermions and bosons, special
attention is payed to the thermodynamic properties of bosons and their
condensation.Comment: 13 REVTEX pages + 9 postscript figure
Work distribution and path integrals in general mean-field systems
We consider a mean-field system described by a general collective variable
, driven out of equilibrium by the manipulation of a parameter . Given
a general dynamics compatible with its equilibrium distribution, we derive the
evolution equation for the joint probability distribution function of and
the work done on the system. We solve this equation by path integrals. We
show how the Jarzynski equality holds identically at the path integral level
and for the classical paths which dominate the expression in the thermodynamic
limit. We discuss some implications of our results.Comment: 4 pages, 2 figures; accepted for publication in Europhys. Let
Dynamics of large anisotropic spin in a sub-ohmic dissipative environment close to a quantum-phase transition
We investigate the dynamics of a large anisotropic spin whose easy-axis
component is coupled to a bosonic bath with a spectral function J(\w)\propto
\omega^s. Such a spin complex might be realized in a single-molecular magnet.
Using the non-perturbative renormalization group, we calculate the line of
quantum-phase transitions in the sub-ohmic regime (). These quantum-phase
transitions only occur for integer spin . For half-integer , the low
temperature fixed-point is identical to the fixed-point of the spin-boson model
without quantum-tunneling between the two levels. Short-time coherent
oscillations in the spin decay prevail even into the localized phase in the
sub-ohmic regime. The influence of the reorganization energy and the recurrence
time on the decoherence in the absence of quantum-tunneling is discussed.Comment: 14 pages,7 figure
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