28,083 research outputs found
Quantum ether: photons and electrons from a rotor model
We give an example of a purely bosonic model -- a rotor model on the 3D cubic
lattice -- whose low energy excitations behave like massless U(1) gauge bosons
and massless Dirac fermions. This model can be viewed as a ``quantum ether'': a
medium that gives rise to both photons and electrons. It illustrates a general
mechanism for the emergence of gauge bosons and fermions known as ``string-net
condensation.'' Other, more complex, string-net condensed models can have
excitations that behave like gluons, quarks and other particles in the standard
model. This suggests that photons, electrons and other elementary particles may
have a unified origin: string-net condensation in our vacuum.Comment: 10 pages, 6 figures, RevTeX4. Home page http://dao.mit.edu/~we
Quantum orders in an exact soluble model
We find all the exact eigenstates and eigenvalues of a spin-1/2 model on
square lattice: . We show
that the ground states for have different quantum orders
described by Z2A and Z2B projective symmetry groups. The phase transition at
represents a new kind of phase transitions that changes quantum orders
but not symmetry. Both the Z2A and Z2B states are described by lattice
gauge theories at low energies. They have robust topologically degenerate
ground states and gapless edge excitations.Comment: 4 pages, RevTeX4, More materials on topological/quantum orders and
quantum computing can be found in http://dao.mit.edu/~we
Translation-symmetry protected topological orders on lattice
In this paper we systematically study a simple class of translation-symmetry
protected topological orders in quantum spin systems using slave-particle
approach. The spin systems on square lattice are translation invariant, but may
break any other symmetries. We consider topologically ordered ground states
that do not spontaneously break any symmetry. Those states can be described by
Z2A or Z2B projective symmetry group. We find that the Z2A translation
symmetric topological orders can still be divided into 16 sub-classes
corresponding to 16 new translation-symmetry protected topological orders. We
introduced four topological indices at , , , to characterize those 16 new
topological orders. We calculated the topological degeneracies and crystal
momenta for those 16 topological phases on even-by-even, even-by-odd,
odd-by-even, and odd-by-odd lattices, which allows us to physically measure
such topological orders. We predict the appearance of gapless fermionic
excitations at the quantum phase transitions between those symmetry protected
topological orders. Our result can be generalized to any dimensions. We find
256 translation-symmetry protected Z2A topological orders for a system on 3D
lattice
String and Membrane condensation on 3D lattices
In this paper, we investigate the general properties of lattice spin models
that have string and/or membrane condensed ground states. We discuss the
properties needed to define a string or membrane operator. We study three 3D
spin models which lead to Z_2 gauge theory at low energies. All the three
models are exactly soluble and produce topologically ordered ground states. The
first model contains both closed-string and closed-membrane condensations. The
second model contains closed-string condensation only. The ends of open-strings
behave like fermionic particles. The third model also has condensations of
closed membranes and closed strings. The ends of open strings are bosonic while
the edges of open membranes are fermionic. The third model contains a new type
of topological order.Comment: 10 pages, RevTeX
An Ultra-Low-Power Oscillator with Temperature and Process Compensation for UHF RFID Transponder
This paper presents a 1.28MHz ultra-low-power oscillator with temperature and process compensation. It is very suitable for clock generation circuits used in ultra-high-frequency (UHF) radio-frequency identification (RFID) transponders. Detailed analysis of the oscillator design, including process and temperature compensation techniques are discussed. The circuit is designed using TSMC 0.18μm standard CMOS process and simulated with Spectre. Simulation results show that, without post-fabrication calibration or off-chip components, less than ±3% frequency variation is obtained from –40 to 85°C in three different process corners. Monte Carlo simulations have also been performed, and demonstrate a 3σ deviation of about 6%. The power for the proposed circuitry is only 1.18µW at 27°C
Broadband lightcurve characteristics of GRBs 980425 and 060218 and comparison with long-lag, wide-pulse GRBs
It has been recently argued that low-luminosity gamma-ray bursts (LL-GRBs)
are likely a unique GRB population. Here, we present systematic analysis of the
lightcurve characteristics from X-ray to gamma-ray energy bands for the two
prototypical LL-GRBs 980425 and 060218. It is found that both the pulse width
() and the ratio of the rising width to the decaying width () of theses
two bursts are energy-dependent over a broad energy band. There exists a
significant trend that the pulses tend to be narrower and more symmetry with
respect to the higher energy bands for the two events. Both the X-rays and the
gamma-rays follow the same and relations. These facts may
indicate that the X-ray emission tracks the gamma-ray emission and both are
likely to be originated from the same physical mechanism. Their light curves
show significant spectral lags. We calculate the three types of lags with the
pulse peaking time (), the pulse centroid time (), and the
cross-correlation function (CCF). The derived and are a
power-law function of energy. The lag calculated by CCF is strongly correlated
with that derived from . But the lag derived from is less
correlated with that derived from and CCF. The energy dependence of
the lags is shallower at higher energy bands. These characteristics are well
consistent with that observed in typical long-lag, wide-pulse GRBs, suggesting
that GRBs 980425 and 060218 may share the similar radiation physics with them.Comment: 26 pages, 10 figures, 3 tables, accepted for publication in Ap
A geometric proof of the equality between entanglement and edge spectra
The bulk-edge correspondence for topological quantum liquids states that the
spectrum of the reduced density matrix of a large subregion reproduces the
thermal spectrum of a physical edge. This correspondence suggests an intricate
connection between ground state entanglement and physical edge dynamics. We
give a simple geometric proof of the bulk-edge correspondence for a wide
variety of physical systems. Our unified proof relies on geometric techniques
available in Lorentz invariant and conformally invariant quantum field
theories. These methods were originally developed in part to understand the
physics of black holes, and we now apply them to determine the local structure
of entanglement in quantum many-body systems.Comment: 7 pages, 3 figure
Spin-dependent tunneling through a symmetric semiconductor barrier: the Dresselhaus effect
Spin-dependent tunneling through a symmetric semiconductor barrier is studied
including the k^3 Dresselhaus effect. The spin-dependent transmission of
electron can be obtained analytically. By comparing with previous work(Phys.
Rev. B 67. R201304 (2003) and Phys. Rev. Lett. 93. 056601 (2004)), it is shown
that the spin polarization and interface current are changed significantly by
including the off-diagonal elements in the current operator, and can be
enhanced considerably by the Dresselhaus effect in the contact regions.Comment: 10 pages, 5 figures, to appear in PR
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