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Geometric symmetries in superfluid vortex dynamics
Quantization vortex line fluid dynamics fluid flow vortex dynamics
2014/12/18
Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, w(z)=x(z)+iy(z), describing the instant shape of the line. Al...
Relativistic Quantum State, Geometric Phase and Dissipationless Spin current
Relativistic Quantum State Geometric Phase Dissipationless Spin current
2011/8/11
Abstract: Spin current of a Dirac particle is shown to be given by the geometric phase and in terms of the later, a closed form expression is obtained for the dissipationlessness of the spin current.
Geometric phase for nonlinear coherent and squeezed state
geometric phase nonlinear coherent squeezed state
2010/11/8
The non-unitary and non-cyclic geometric phase for two nonlinear coherent and one squeezed tates are formulated. Moreover, the nonlinear results are reduced to geometric phases of standard oherent and...
Geometric measure of quantum discord for an arbitrary state of a bipartite quantum system
Geometric measure quantum discord for arbitrary state bipartite quantum system
2010/11/4
Quantum discord, as introduced by Olliver and Zurek [Phys. Rev. Lett. \textbf{88}, 017901 (2001)], is a measure of the discrepancy between quantum versions of two classically equivalent expressions fo...
Gauge- and Galilei-invariant Geometric Phases
geometric phases gauge transformations Galilei transformations effect
2011/9/7
Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge ...
An Experimentally accessible geometric measure for entanglement in $N$-qudit pure states
An Experimentally accessible geometric entanglement $N$-qudit pure states
2010/4/8
We present a multipartite entanglement measure for $N$-qudit pure states, using the norm of the correlation tensor which occurs in the Bloch representation of the state. We compute this measure for im...
Geometric Phase, Curvature, and Extrapotentials in Constrained Quantum Systems
Geometric Phase Curvature Extrapotentials Constrained Quantum Systems
2010/10/15
We derive an effective Hamiltonian for a quantum system constrained to a submanifold (the
constraint manifold) of configuration space (the ambient space) by an infinite restoring force. We pay specia...
Unconventional Geometric Phase-Shift Gates Based on
Superconducting Quantum Interference Devices Coupled
to a Single-Mode Cavity
geometric phase-shift gate superconducting quantum interference device cavity-QED
2007/8/15
2006Vol.46No.4pp.631-634DOI:
Unconventional Geometric Phase-Shift Gates Based on
Superconducting Quantum Interference Devices Coupled
to a Single-Mode Cavity
SONG Ke-Hui,1,2 ZHOU ...
Nonadiabatic Geometric Quantum Computation with
Asymmetric Superconducting Quantum Interference Device
non-adiabatic geometric phase gate dc-SQUID quantum computation
2007/8/15
2002Vol.38No.3pp.285-291DOI:
Nonadiabatic Geometric Quantum Computation with
Asymmetric Superconducting Quantum Interference Device
HAO San-Ru,1,2 HOU Bo-Yu,1 XI Xiao-Qiang,1 and
...