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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Entanglement renormalization for quantum fields in real space.

Jutho Haegeman1, Tobias J Osborne, Henri Verschelde

  • 1Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Ghent, Belgium.

Physical Review Letters
|March 26, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a novel real-space renormalization group (RG) flow construction for quantum field theories. This method generalizes entanglement renormalization to continuum theories, yielding translation-invariant wave functions with an entropy-area law.

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Area of Science:

  • Quantum Field Theory
  • Condensed Matter Physics
  • Quantum Information

Background:

  • The standard Wilsonian approach to renormalization group (RG) flows is typically performed in momentum space.
  • Continuum quantum field theories present challenges for real-space RG constructions.

Purpose of the Study:

  • To develop a real-space construction for renormalization group (RG) flows in quantum field theories.
  • To generalize the multiscale entanglement renormalization ansatz to continuum theories.

Main Methods:

  • Generalizing the multiscale entanglement renormalization ansatz to continuum theories.
  • Developing a real-space RG flow construction.

Main Results:

  • The construction yields translation-invariant wave functions.
  • The wave functions exhibit an entropy-area law.
  • The method was illustrated for a free nonrelativistic boson model.

Conclusions:

  • The developed real-space RG flow construction is a viable alternative to momentum-space methods.
  • The full potential of this construction is expected in interacting quantum field theories.