Search Results - "Hackl, Lucas"

Circuit complexity for free fermions by Hackl, Lucas, Myers, Robert C.

“…A bstract We study circuit complexity for free fermionic field theories and Gaussian states. Our definition of circuit complexity is based on the notion of…”
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Volume Law and Quantum Criticality in the Entanglement Entropy of Excited Eigenstates of the Quantum Ising Model by Vidmar, Lev, Hackl, Lucas, Bianchi, Eugenio, Rigol, Marcos

“…Much has been learned about universal properties of entanglement entropies in ground states of quantum many-body lattice systems. Here we unveil universal…”
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Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate by Bianchi, Eugenio, Hackl, Lucas, Yokomizo, Nelson

“…A bstract The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate h KS given by the sum of all…”
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Complexity and entanglement for thermofield double states by Chapman, Shira, Eisert, Jens, Hackl, Lucas, Heller, Michal P., Jefferson, Ro, Marrochio, Hugo, Myers, Robert C.

“…Motivated by holographic complexity proposals as novel probes of black hole spacetimes, we explore circuit complexity for thermofield double (TFD) states in…”
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Volume-Law Entanglement Entropy of Typical Pure Quantum States by Bianchi, Eugenio, Hackl, Lucas, Kieburg, Mario, Rigol, Marcos, Vidmar, Lev

“…The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians has recently been conjectured to be a diagnostic of quantum…”
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Bosonic and fermionic Gaussian states from Kähler structures by Hackl, Lucas, Bianchi, Eugenio

“…We show that bosonic and fermionic Gaussian states (also known as ``squeezed coherent states’’) can be uniquely characterized by their linear complex structure…”
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Geometry of variational methods: dynamics of closed quantum systems by Hackl, Lucas, Guaita, Tommaso, Shi, Tao, Haegeman, Jutho, Demler, Eugene, Cirac, Ignacio

“…We present a systematic geometric framework to study closed quantum systems based on suitably chosen variational families. For the purpose of (A) real time…”
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Towards spacetime entanglement entropy for interacting theories by Chen, Yangang, Hackl, Lucas, Kunjwal, Ravi, Moradi, Heidar, Yazdi, Yasaman K., Zilhão, Miguel

“…A bstract Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is conventionally…”
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Minimal energy cost of entanglement extraction by Hackl, Lucas, Jonsson, Robert H.

“…We compute the minimal energy cost for extracting entanglement from the ground state of a bosonic or fermionic quadratic system. Specifically, we find the…”
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Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states by De Palma, Giacomo, Hackl, Lucas

“…We prove that the entanglement entropy of any pure initial state of a bipartite bosonic quantum system grows linearly in time with respect to the dynamics…”
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Entanglement and complexity of purification in ( 1 + 1 )-dimensional free conformal field theories by Camargo, Hugo A., Hackl, Lucas, Heller, Michal P., Jahn, Alexander, Takayanagi, Tadashi, Windt, Bennet

“…Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task…”
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Entanglement dualities in supersymmetry by Jonsson, Robert H., Hackl, Lucas, Roychowdhury, Krishanu

“…We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we…”
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Local optimization on pure Gaussian state manifolds by Windt, Bennet, Jahn, Alexander, Eisert, Jens, Hackl, Lucas

“…We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary…”
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Generalization of group-theoretic coherent states for variational calculations by Guaita, Tommaso, Hackl, Lucas, Shi, Tao, Demler, Eugene, Cirac, J. Ignacio

“…We introduce families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by…”
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Entanglement Entropy of Eigenstates of Quadratic Fermionic Hamiltonians by Vidmar, Lev, Hackl, Lucas, Bianchi, Eugenio, Rigol, Marcos

“…In a seminal paper [D. N. Page, Phys. Rev. Lett. 71, 1291 (1993)PRLTAO0031-900710.1103/PhysRevLett.71.1291], Page proved that the average entanglement entropy…”
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Entanglement entropy of squeezed vacua on a lattice by Bianchi, Eugenio, Hackl, Lucas, Yokomizo, Nelson

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Long Distance Entanglement of Purification and Reflected Entropy in Conformal Field Theory by Camargo, Hugo A., Hackl, Lucas, Heller, Michal P., Jahn, Alexander, Windt, Bennet

“…Quantifying entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy is a new and challenging…”
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Random Pure Gaussian States and Hawking Radiation by Aurell, Erik, Hackl, Lucas, Horodecki, Paweł, Jonsson, Robert H, Kieburg, Mario

“…A black hole evaporates by Hawking radiation. Each mode of that radiation is thermal. If the total state is nevertheless to be pure, modes must be entangled…”
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Aspects of Gaussian States Entanglement, Squeezing and Complexity by Hackl, Lucas Fabian

“…We develop unifying mathematical methods to describe bosonic and fermionic states in systems with finitely and infinitely many degrees of freedom. Our approach…”
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Representation theory of Gaussian unitary transformations for bosonic and fermionic systems by Guaita, Tommaso, Hackl, Lucas, Quella, Thomas

“…Gaussian unitary transformations are generated by quadratic Hamiltonians, i.e., Hamiltonians containing quadratic terms in creations and annihilation…”
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