Lucas Hackl
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View article: Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble <sup>*</sup>
Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble <sup>*</sup> Open
We consider ensembles of pure Gaussian states parametrised by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final states when isolated quantum systems thermalise, as they can…
View article: Finite complexity of the de Sitter vacuum
Finite complexity of the de Sitter vacuum Open
The Einstein−Rosen=Einstein−Podolsky−Rosen (ER=EPR) conjecture states that quantum entanglement between boundary degrees of freedom leads to the emergence of bulk spacetime itself. Although this has been tested extensively in string theory…
View article: Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble
Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble Open
We consider ensembles of pure Gaussian states parametrized by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final states when isolated quantum systems thermalize, as they can…
View article: Adiabatic vacua from linear complex structures
Adiabatic vacua from linear complex structures Open
Adiabatic vacua play a central role in quantum fields in cosmological spacetimes, where they serve as distinguished initial conditions and as reference states for the renormalization of observables. In this paper we introduce new methods b…
View article: Average mutual information for random fermionic Gaussian quantum states
Average mutual information for random fermionic Gaussian quantum states Open
Studying the typical entanglement entropy of a bipartite system when averaging over different ensembles of pure quantum states has been instrumental in different areas of physics, ranging from many-body quantum chaos to black hole evaporat…
View article: Average mutual information for random fermionic Gaussian quantum states
Average mutual information for random fermionic Gaussian quantum states Open
Studying the typical entanglement entropy of a bipartite system when averaging over different ensembles of pure quantum states has been instrumental in different areas of physics, ranging from many-body quantum chaos to black hole evaporat…
View article: Entanglement harvesting in quantum superposed spacetime
Entanglement harvesting in quantum superposed spacetime Open
We investigate the phenomenon of entanglement harvesting for a spacetime in quantum superposition, using two Unruh-DeWitt detectors interacting with a quantum scalar field where the spacetime background is modeled as a superposition of two…
View article: Finite complexity of the de Sitter vacuum
Finite complexity of the de Sitter vacuum Open
The ER=EPR conjecture states that quantum entanglement between boundary degrees of freedom leads to the emergence of bulk spacetime itself. Although this has been tested extensively in String Theory for asymptotically anti-de Sitter spacet…
View article: Representation theory of Gaussian unitary transformations for bosonic and fermionic systems
Representation theory of Gaussian unitary transformations for bosonic and fermionic systems Open
Gaussian unitary transformations are generated by quadratic Hamiltonians, i.e., Hamiltonians containing quadratic terms in creations and annihilation operators, and are heavily used in many areas of quantum physics, ranging from quantum op…
View article: Random Pure Gaussian States and Hawking Radiation
Random Pure Gaussian States and Hawking Radiation Open
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. Estimating the minimum size of this entanglement has been an important outstandin…
View article: Random pure Gaussian states and Hawking radiation
Random pure Gaussian states and Hawking radiation Open
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. Estimating the minimum size of this entanglement has been an important outstandin…
View article: Typical entanglement entropy in systems with particle-number conservation
Typical entanglement entropy in systems with particle-number conservation Open
We calculate the typical bipartite entanglement entropy $\langle S_A\rangle_N$ in systems containing indistinguishable particles of any kind as a function of the total particle number $N$, the volume $V$, and the subsystem fraction $f=V_A/…
View article: Probing Hilbert space fragmentation and the block inverse participation ratio
Probing Hilbert space fragmentation and the block inverse participation ratio Open
We consider a family of quantum many-body Hamiltonians that show exact Hilbert space fragmentation in certain limits. The question arises whether fragmentation has implications for Hamiltonians in the vicinity of the subset defined by thes…
View article: Experimental proposal to probe the extended Pauli principle
Experimental proposal to probe the extended Pauli principle Open
All matter is made up of fermions -- one of the fundamental type of particles\nin nature. Fermions follow the Pauli exclusion principle, stating that two or\nmore identical fermions cannot occupy the same quantum state. Antisymmetry of\nth…
View article: Average pure-state entanglement entropy in spin systems with SU(2) symmetry
Average pure-state entanglement entropy in spin systems with SU(2) symmetry Open
We study the effect that the SU(2) symmetry, and the rich Hilbert space structure that it generates in lattice spin systems, has on the average entanglement entropy of highly excited eigenstates of local Hamiltonians and of random pure sta…
View article: Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model Open
We study Hilbert space fragmentation in the extended Fermi-Hubbard model with nearest and next-nearest-neighbor interactions. Using a generalized spin/mover picture and saddle point methods, we derive lower bounds for the scaling of the nu…
View article: Volume-Law Entanglement Entropy of Typical Pure Quantum States
Volume-Law Entanglement Entropy of Typical Pure Quantum States Open
The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians has been recently conjectured to be a diagnostic of quantum chaos and integrability. In quantum chaotic systems it has been found to behave as …
View article: Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states
Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states Open
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 induced by any unstable quadratic Hamiltonian. The growth rate does not depend on th…
View article: Report on 2107.11064v1
Report on 2107.11064v1 Open
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 induced by any unstable quadratic Hamiltonian.The growth rate does not depend on the…
View article: Report on 2107.11064v1
Report on 2107.11064v1 Open
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 induced by any unstable quadratic Hamiltonian.The growth rate does not depend on the…
View article: Long Distance Entanglement of Purification and Reflected Entropy in Conformal Field Theory
Long Distance Entanglement of Purification and Reflected Entropy in Conformal Field Theory Open
Quantifying entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy is a new and challenging subject. In this work, we study both quantities for two spherical subregions far aw…
View article: Bosonic and fermionic Gaussian states from Kähler structures
Bosonic and fermionic Gaussian states from Kähler structures Open
We show that bosonic and fermionic Gaussian states (also known as ``squeezed coherent states’’) can be uniquely characterized by their linear complex structure J which is a linear map on the classical phase space. This extends convention…
View article: Bosonic and fermionic Gaussian states from Kähler structures
Bosonic and fermionic Gaussian states from Kähler structures Open
We show that bosonic and fermionic Gaussian states (also known as "squeezed coherent states") can be uniquely characterized by their linear complex structure $J$ which is a linear map on the classical phase space. This extends conventional…
View article: Experimental proposal to probe the extended Pauli principle
Experimental proposal to probe the extended Pauli principle Open
All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the f…
View article: Page curve for fermionic Gaussian states
Page curve for fermionic Gaussian states Open
In a seminal paper, Page found the exact formula for the average entanglement\nentropy for a pure random state. We consider the analogous problem for the\nensemble of pure fermionic Gaussian states, which plays a crucial role in the\nconte…
View article: Generalization of group-theoretic coherent states for variational calculations
Generalization of group-theoretic coherent states for variational calculations Open
We introduce new families of pure quantum states that are constructed on top\nof the well-known Gilmore-Perelomov group-theoretic coherent states. We do this\nby constructing unitaries as the exponential of operators quadratic in Cartan\ns…
View article: Report on 2009.11884v3
Report on 2009.11884v3 Open
We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these families of states.The method is based on notions of gradient des…
View article: Report on 2009.11884v3
Report on 2009.11884v3 Open
We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these families of states.The method is based on notions of gradient des…
View article: Report on 2010.15518v2
Report on 2010.15518v2 Open
We show that bosonic and fermionic Gaussian states (also known as "squeezed coherent states") can be uniquely characterized by their linear complex structure J which is a linear map on the classical phase space.This extends conventional Ga…
View article: Report on 2009.11884v2
Report on 2009.11884v2 Open
We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these families of states.The method is based on notions of gradient des…