16,961 research outputs found
Thermal energies of classical and quantum damped oscillators coupled to reservoirs
We consider the global thermal state of classical and quantum harmonic
oscillators that interact with a reservoir. Ohmic damping of the oscillator can
be exactly treated with a 1D scalar field reservoir, whereas general non-Ohmic
damping is conveniently treated with a continuum reservoir of harmonic
oscillators. Using the diagonalized Hamiltonian of the total system, we
calculate a number of thermodynamic quantities for the damped oscillator: the
mean force internal energy, mean force free energy, and another internal energy
based on the free-oscillator Hamiltonian. The classical mean force energy is
equal to that of a free oscillator, for both Ohmic and non-Ohmic damping and no
matter how strong the coupling to the reservoir. In contrast, the quantum mean
force energy depends on the details of the damping and diverges for strictly
Ohmic damping. These results give additional insight into the steady-state
thermodynamics of open systems with arbitrarily strong coupling to a reservoir,
complementing results for energies derived within dynamical approaches (e.g.
master equations) in the weak-coupling regime.Comment: 13 page
N-body simulations of star clusters
Two aspects of our recent N-body studies of star clusters are presented: (1)
What impact does mass segregation and selective mass loss have on integrated
photometry? (2) How well compare results from N-body simulations using NBODY4
and STARLAB/KIRA?Comment: 2 pages, 1 figure with 4 panels (in colour, not well visible in
black-and-white; figures screwed in PDF version, ok in postscript; to see
further details get the paper source). Conference proceedings for IAUS246
'Dynamical Evolution of Dense Stellar Systems', ed. E. Vesperini (Chief
Editor), M. Giersz, A. Sills, Capri, Sept. 2007; v2: references correcte
Entanglement at the quantum phase transition in a harmonic lattice
The entanglement properties of the phase transition in a two dimensional
harmonic lattice, similar to the one observed in recent ion trap experiments,
are discussed both, for finite number of particles and thermodynamical limit.
We show that for the ground state at the critical value of the trapping
potential two entanglement measures, the negativity between two neighbouring
sites and the block entropy for blocks of size 1, 2 and 3, change abruptly.
Entanglement thus indicates quantum phase transitions in general; not only in
the finite dimensional case considered in [Phys. Rev. Lett. {\bf 93}, 250404
(2004)]. Finally, we consider the thermal state and compare its exact
entanglement with a temperature entanglement witness introduced in [Phys. Rev.
A {\bf 77} 062102 (2008)].Comment: extended published versio
Macroscopic Entanglement and Phase Transitions
This paper summarises the results of our research on macroscopic entanglement
in spin systems and free Bosonic gases. We explain how entanglement can be
observed using entanglement witnesses which are themselves constructed within
the framework of thermodynamics and thus macroscopic observables. These
thermodynamical entanglement witnesses result in bounds on macroscopic
parameters of the system, such as the temperature, the energy or the
susceptibility, below which entanglement must be present. The derived bounds
indicate a relationship between the occurrence of entanglement and the
establishment of order, possibly resulting in phase transition phenomena. We
give a short overview over the concepts developed in condensed matter physics
to capture the characteristics of phase transitions in particular in terms of
order and correlation functions. Finally we want to ask and speculate whether
entanglement could be a generalised order concept by itself, relevant in
(quantum induced) phase transitions such as BEC, and that taking this view may
help us to understand the underlying process of high-T superconductivity.Comment: 9 pages, 7 figures (color), Submitted to special OSID issue,
Proceedings of the 38th Symposium on Mathematical Physics - Quantum
Entanglement & Geometry, Torun (Poland), June 200
Quantum state tomography of molecular rotation
We show how the rotational quantum state of a linear or symmetric top rotor
can be reconstructed from finite time observations of the polar angular
distribution under certain conditions. The presented tomographic method can
reconstruct the complete rotational quantum state in many non-adiabatic
alignment experiments. Our analysis applies for measurement data available with
existing measurement techniques.Comment: 7 pages, 1 figur
Neutrino fluence after r-process freeze-out and abundances of Te isotopes in presolar diamonds
Using the data of Richter et al. (1998) on Te isotopes in diamond grains from
a meteorite, we derive bounds on the neutrino fluence and the decay timescale
of the neutrino flux relevant for the supernova r-process. Our new bound on the
neutrino fluence F after freeze-out of the r-process peak at mass number A =
130 is more stringent than the previous bound F < 0.045 (in units of 10**37
erg/cm**2) of Qian et al. (1997) and Haxton et al. (1997) if the neutrino flux
decays on a timescale tau > 0.65 s. In particular, it requires that a fluence
of F = 0.031 be provided by a neutrino flux with tau < 0.84 s. Such a fluence
may be responsible for the production of the solar r-process abundances at A =
124-126 (Qian et al. 1997; Haxton et al. 1997). Our results are based on the
assumption that only the stable nuclei implanted into the diamonds are retained
while the radioactive ones are lost from the diamonds upon decay after
implantation (Ott 1996). We consider that the nanodiamonds are condensed in an
environment with C/O > 1 in the expanding supernova debris or from the exterior
H envelope. The implantation of nuclei would have occurred 10**4-10**6 s after
r-process freeze-out. This time interval may be marginally sufficient to permit
adequate cooling upon expansion for the formation of diamond grains. The
mechanisms of preferential retention/loss of the implanted nuclei are not well
understood.Comment: AASTeX, 11 pages, 3 Postscript figure
Probing spatial spin correlations of ultracold gases by quantum noise spectroscopy
Spin noise spectroscopy with a single laser beam is demonstrated
theoretically to provide a direct probe of the spatial correlations of cold
fermionic gases. We show how the generic many-body phenomena of anti-bunching,
pairing, antiferromagnetic, and algebraic spin liquid correlations can be
revealed by measuring the spin noise as a function of laser width, temperature,
and frequency.Comment: Revised version. 4 pages, 3 figures. Accepted for PR
Half-Filled Lowest Landau Level on a Thin Torus
We solve a model that describes an interacting electron gas in the
half-filled lowest Landau level on a thin torus, with radius of the order of
the magnetic length. The low energy sector consists of non-interacting,
one-dimensional, neutral fermions. The ground state, which is homogeneous, is
the Fermi sea obtained by filling the negative energy states and the excited
states are gapless neutral excitations out of this one-dimensional sea.
Although the limit considered is extreme, the solution has a striking
resemblance to the composite fermion description of the bulk
state--the ground state is homogeneous and the excitations are neutral and
gapless. This suggests a one-dimensional Luttinger liquid description, with
possible observable effects in transport experiments, of the bulk state where
it develops continuously from the state on a thin torus as the radius
increases.Comment: 4 pages, 1 figur
Thermal state entanglement in harmonic lattices
We investigate the entanglement properties of thermal states of the harmonic
lattice in one, two and three dimensions. We establish the value of the
critical temperature for entanglement between neighbouring sites and give
physical reasons. Further sites are shown to be entangled only due to boundary
effects. Other forms of entanglement are addressed in the second part of the
paper by using the energy as witness of entanglement. We close with a
comprehensive diagram showing the different phases of entanglement versus
complete separability and propose techniques to swap and tune entanglement
experimentally.Comment: 9 pages, 4 figure
Disrupting Tech While Being Pro-Tech
As more libraries take on social justice concerns, pro-technology library workers have the responsibility of vetting and implementing meaningful tools that both meet patron needs and privacy. The goal of this program is for library workers to think critically how we might take a more measured approach to review and integrate technology into library services. Participants are encouraged to think beyond the glitz and glam of new toys and consider how innovation can work in favor of community goals and library ethics. BIPOC, paraprofessionals, students, recent grads, and those with reservations about technology are highly encouraged to attend
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