Auflistung Fakultät für Mathematik und Physik nach Autor/in "f5a7d1e5-332b-411a-a854-ed2527d8f1e9"

Auflistung Fakultät für Mathematik und Physik nach Autor/in "f5a7d1e5-332b-411a-a854-ed2527d8f1e9"

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  • Applying the variational principle to (1+1) dimensional relativistic quantum field theories 
    Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.; Verschelde, Henri; Verstraete, Frank (Trieste : International School for Advanced Studies, 2010)
    We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+1)-dimensional relativistic quantum field theories. This allows one to overcome the difficulties highlighted ...
  • Calculus of continuous matrix product states 
    Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.; Verstraete, Frank (College Park, MD : American Physical Society, 2013)
    We discuss various properties of the variational class of continuous matrix product states, a class of Ansatz states for one-dimensional quantum fields that was recently introduced as the direct continuum limit of the ...
  • Continuum tensor network field states, path integral representations and spatial symmetries 
    Jennings, David; Brockt, Christoph; Haegeman, Jutho; Osborne, Tobias J.; Verstraete, Frank (Bristol : IOP Publishing Ltd., 2015-06-29)
    A natural way to generalize tensor network variational classes to quantum field systems is via a continuous tensor contraction. This approach is first illustrated for the class of quantum field states known as continuous ...
  • Elementary excitations in gapped quantum spin systems 
    Haegeman, Jutho; Michalakis, Spyridon; Nachtergaele, Bruno; Osborne, Tobias J.; Schuch, Norbert; Verstraete, Frank (College Park, MD : American Physical Society, 2013)
    For quantum lattice systems with local interactions, the Lieb-Robinson bound serves as an alternative for the strict causality of relativistic systems and allows the proof of many interesting results, in particular, when ...
  • Entanglement renormalization for quantum fields in real space 
    Haegeman, Jutho; Osborne, Tobias J.; Verschelde, Henri; Verstraete, Frank (College Park, MD : American Physical Society, 2013)
    We show how to construct renormalization group (RG) flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement ...
  • Matrix product states and variational methods applied to critical quantum field theory 
    Milsted, Ashley; Haegeman, Jutho; Osborne, Tobias J. (College Park, MD : American Physical Society, 2013)
    We study the second-order quantum phase transition of massive real scalar field theory with a quartic interaction in (1+1) dimensions on an infinite spatial lattice using matrix product states. We introduce and apply a ...
  • Particles, holes, and solitons: a matrix product state approach 
    Draxler, Damian; Haegeman, Jutho; Osborne, Tobias J.; Stojevic, Vid; Vanderstraeten, Laurens; Verstraete, Frank (College Park, MD : American Physical Society, 2013)
    We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional quantum field theories. The method is based on continuous matrix product states and can be implemented ...
  • Post-matrix product state methods: To tangent space and beyond 
    Haegeman, Jutho; Osborne, Tobias J.; Verstraete, Frank (College Park, MD : American Physical Society, 2013)
    We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time evolution, excitations, and spectral functions. We focus on the case ...
  • Quantum Gross-Pitaevskii Equation 
    Haegeman, Jutho; Draxler, Damian; Stojevic, Vid; Cirac, J. Ignacio; Osborne, Tobias J.; Verstraete, Frank (Amsterdam : SciPost Foundation, 2017)
    We introduce a non-commutative generalization of the Gross-Pitaevskii equation for one-dimensional quantum gasses and quantum liquids. This generalization is obtained by applying the time-dependent variational principle ...
  • S matrix from matrix product states 
    Vanderstraeten, Laurens; Haegeman, Jutho; Osborne, Tobias J.; Verstraete, Frank (College Park, MD : American Physical Society, 2014)
    We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems. Our method is applied to the spin-1 Heisenberg antiferromagnet, ...
  • Time-dependent variational principle for quantum lattices 
    Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.; Pižorn, Iztok; Verschelde, Henri; Verstraete, Frank (College Park, MD : American Physical Society, 2011)
    We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. ...
  • Variational matrix product ansatz for dispersion relations 
    Haegeman, Jutho; Pirvu, Bogdan; Weir, David J.; Cirac, J. Ignacio; Osborne, Tobias J.; Verschelde, Henri; Verstraete, Frank (College Park, MD : American Physical Society, 2012)
    A variational ansatz for momentum eigenstates of translation-invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation ...
  • Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit 
    Milsted, Ashley; Haegeman, Jutho; Osborne, Tobias J.; Verstraete, Frank (College Park, MD : American Physical Society, 2013)
    We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confining the nonuniformity to a (dynamically ...

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