Michał P. Heller
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View article: Temporal Entanglement from Holographic Entanglement Entropy
Temporal Entanglement from Holographic Entanglement Entropy Open
Recently, several notions of entanglement in time have emerged as a novel frontier in quantum many-body physics, quantum field theory, and gravity. We propose a systematic prescription to characterize temporal entanglement in relativistic …
View article: Krylov Spread Complexity as Holographic Complexity beyond Jackiw-Teitelboim Gravity
Krylov Spread Complexity as Holographic Complexity beyond Jackiw-Teitelboim Gravity Open
One of the important open problems in quantum black hole physics is a dual interpretation of holographic complexity proposals. To date the only quantitative match is the equality between the Krylov spread complexity in the triple-scaled Sa…
View article: Temporal Entanglement from Holographic Entanglement Entropy
Temporal Entanglement from Holographic Entanglement Entropy Open
Recently, several notions of entanglement in time have emerged as a novel frontier in quantum many-body physics, quantum field theory and gravity. We propose a systematic prescription to characterize temporal entanglement in relativistic q…
View article: Quasinormal Modes of Nonthermal Fixed Points
Quasinormal Modes of Nonthermal Fixed Points Open
Quasinormal modes play a prominent role in the relaxation of diverse physical systems to equilibria, ranging from astrophysical black holes to tiny droplets of quark-gluon plasma at the RHIC and LHC accelerators. We propose that a novel ki…
View article: Geometric Interpretation of Timelike Entanglement Entropy
Geometric Interpretation of Timelike Entanglement Entropy Open
Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of the emergence of spacetime. We propose that the bulk car…
View article: Quasinormal modes of nonthermal fixed points
Quasinormal modes of nonthermal fixed points Open
Quasinormal modes play a prominent role in relaxation of diverse physical systems to equilibria, ranging from astrophysical black holes to tiny droplets of quark-gluon plasma at RHIC and LHC accelerators. We propose that a novel kind of qu…
View article: Krylov spread complexity as holographic complexity beyond JT gravity
Krylov spread complexity as holographic complexity beyond JT gravity Open
One of the important open problems in quantum black hole physics is a dual interpretation of holographic complexity proposals. To date the only quantitative match is the equality between the Krylov spread complexity in triple-scaled SYK at…
View article: Complexity equals anything can grow forever in de Sitter space
Complexity equals anything can grow forever in de Sitter space Open
Recent developments in anti–de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal volumes, with quantum computational complexity in the microscopic des…
View article: Geometric Interpretation of Timelike Entanglement Entropy
Geometric Interpretation of Timelike Entanglement Entropy Open
Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of the emergence of spacetime. We propose that the bulk car…
View article: Prescaling Relaxation to Nonthermal Attractors
Prescaling Relaxation to Nonthermal Attractors Open
We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation gover…
View article: From complexity geometry to holographic spacetime
From complexity geometry to holographic spacetime Open
An important conjecture within the $\mathrm{AdS}/\mathrm{CFT}$ correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quantitative understanding of this relation …
View article: Quantum information perspective on meson melting
Quantum information perspective on meson melting Open
We propose to use quantum information notions to characterize thermally induced melting of nonperturbative bound states at high temperatures. We apply tensor networks to investigate this idea in static and dynamical settings within the Isi…
View article: Prescaling relaxation to nonthermal attractors
Prescaling relaxation to nonthermal attractors Open
We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation gover…
View article: Rigorous Bounds on Transport from Causality
Rigorous Bounds on Transport from Causality Open
We use causality to derive a number of simple and universal constraints on dispersion relations, which describe the location of singularities of retarded two-point functions in relativistic quantum field theories. We prove that all causal …
View article: Complexity = Anything Can Grow Forever in de Sitter
Complexity = Anything Can Grow Forever in de Sitter Open
Recent developments in anti-de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal volumes, with quantum computational complexity in the microscopic des…
View article: The Hydrohedron: Bootstrapping Relativistic Hydrodynamics
The Hydrohedron: Bootstrapping Relativistic Hydrodynamics Open
As an effective theory, relativistic hydrodynamics is fixed by symmetries up to a set of transport coefficients. A lot of effort has been devoted to explicit calculations of these coefficients. Here we propose a shift in perspective: we de…
View article: Cost of holographic path integrals
Cost of holographic path integrals Open
We consider proposals for the cost of holographic path integrals. Gravitational path integrals within finite radial cutoff surfaces have a precise map to path integrals in T\overline{T} deformed holographic CFTs. In Nielsen’s geometr…
View article: Stable and Unstable Perturbations in Universal Scaling Phenomena Far from Equilibrium
Stable and Unstable Perturbations in Universal Scaling Phenomena Far from Equilibrium Open
We study the dynamics of perturbations around nonthermal fixed points associated with universal scaling phenomena in quantum many-body systems far from equilibrium. For an N-component scalar quantum field theory in 3+1 space-time dimension…
View article: Rigorous bounds on transport from causality
Rigorous bounds on transport from causality Open
We use causality to derive a number of simple and universal constraints on dispersion relations, which describe the location of singularities of retarded two-point functions in relativistic quantum field theories. We prove that all causal …
View article: From Complexity Geometry to Holographic Spacetime
From Complexity Geometry to Holographic Spacetime Open
An important conjecture within the AdS/CFT correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quantitative understanding of this relation is still an open que…
View article: Józefa Życińskiego zmagania z językiem o Bogu
Józefa Życińskiego zmagania z językiem o Bogu Open
In the two-volume work Theism and the Analytical Philosophy (1985; 1988a) Joseph Życiński took up the challenge of renewing Christian metaphysics so that it could appear as a full-fledged partner in the dialogue with other streams of conte…
View article: Relativistic Hydrodynamics: A Singulant Perspective
Relativistic Hydrodynamics: A Singulant Perspective Open
There is growing evidence that the hydrodynamic gradient expansion is factorially divergent. We advocate for using Dingle's singulants as a way to gain analytic control over its large-order behaviour for nonlinear flows. Within our approac…
View article: Report on 2203.08842v3
Report on 2203.08842v3 Open
We consider proposals for the cost of holographic path integrals.Gravitational path integrals within finite radial cutoff surfaces have a precise map to path integrals in T T deformed holographic CFTs.In Nielsen's geometric formulation cos…
View article: Stable and unstable perturbations in universal scaling phenomena far from equilibrium
Stable and unstable perturbations in universal scaling phenomena far from equilibrium Open
We study the dynamics of perturbations around nonthermal fixed points associated to universal scaling phenomena in quantum many-body systems far from equilibrium. For an N-component scalar quantum field theory in 3+1 space-time dimensions,…
View article: Exact Gravity Duals for Simple Quantum Circuits
Exact Gravity Duals for Simple Quantum Circuits Open
Holographic complexity proposals have sparked interest in quantifying the cost of state preparation in quantum field theories and its possible dual gravitational manifestations. The most basic ingredient in defining complexity is the notio…
View article: Report on 2203.08842v2
Report on 2203.08842v2 Open
We consider proposals for the cost of holographic path integrals.Gravitational path integrals within finite radial cutoff surfaces have a precise map to path integrals in T T deformed holographic CFTs.In Nielsen's geometric formulation cos…
View article: Report on 2203.08842v2
Report on 2203.08842v2 Open
We consider proposals for the cost of holographic path integrals.Gravitational path integrals within finite radial cutoff surfaces have a precise map to path integrals in T T deformed holographic CFTs.In Nielsen's geometric formulation cos…
View article: Exponential approach to the hydrodynamic attractor in Yang-Mills kinetic theory
Exponential approach to the hydrodynamic attractor in Yang-Mills kinetic theory Open
We use principal component analysis to study the hydrodynamic attractor in\nYang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass\nCondensate initial conditions. The late time hydrodynamic attractor is\ncharacterized …
View article: Spatiotemporal dynamics of particle collisions in quantum spin chains
Spatiotemporal dynamics of particle collisions in quantum spin chains Open
We show that quantum Ising chains provide a platform to realize and probe elastic and inelastic particle collisions in pristine form. The proposed setup allows us to monitor the whole spatiotemporal dynamics of the collision event. The con…