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Full-Text Articles in Physics
The Measure Aspect Of Quantum Uncertainty, Of Entanglement, And The Associated Entropies, Ivan Horváth
The Measure Aspect Of Quantum Uncertainty, Of Entanglement, And The Associated Entropies, Ivan Horváth
Physics and Astronomy Faculty Publications
Indeterminacy associated with the probing of a quantum state is commonly expressed through spectral distances (metric) featured in the outcomes of repeated experiments. Here, we express it as an effective amount (measure) of distinct outcomes instead. The resulting μ-uncertainties are described by the effective number theory whose central result, the existence of a minimal amount, leads to a well-defined notion of intrinsic irremovable uncertainty. We derive μ-uncertainty formulas for arbitrary set of commuting operators, including the cases with continuous spectra. The associated entropy-like characteristics, the μ-entropies, convey how many degrees of freedom are effectively involved in a given …
Rényi Entanglement Entropy Of Critical Su(N) Spin Chains, Jonathan D'Emidio, Matthew S. Block, Ribhu K. Kaul
Rényi Entanglement Entropy Of Critical Su(N) Spin Chains, Jonathan D'Emidio, Matthew S. Block, Ribhu K. Kaul
Physics and Astronomy Faculty Publications
We present a study of the scaling behavior of the Rényi entanglement entropy (REE) in SU(N) spin chain Hamiltonians, in which all of the spins transform under the fundamental representation. These SU(N) spin chains are known to be quantum critical and described by a well known Wess-Zumino-Witten (WZW) nonlinear sigma model in the continuum limit. Numerical results from our lattice Hamiltonian are obtained using stochastic series expansion quantum Monte Carlo for both closed and open boundary conditions. As expected for this 1D critical system, the REE shows a logarithmic dependence on the subsystem size with a …