A bstract We examine holographic complexity in the doubly model introduced [1, 2] to study quantum extremal islands. focus on complexity=volume (CV) proposal for boundary subregions island phase. Exploiting Fefferman-Graham expansion of metric and other geometric quantities near brane, we derive leading contributions interpret these terms generalized volume derived from induced higher-curvature gravity action brane. Motivated by results, propose a generalization CV higher curvature theories...

A bstract We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space eternal black holes quantum with a negative cosmological constant any dimension. approach problem by computing trace two-sided observables as sum over recently constructed family semiclassically well-controlled hole microstates. These microstates, which contain heavy matter shells behind horizon and form an overcomplete basis space, exist theory general relativity...

We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen's geometric approach as [1]. The have same UV divergences vacuum state and so we consider finite increase these over state. One observation is that generally, optimal circuits introduce entanglement between normal modes at intermediate stages even though our reference target are not entangled this basis. also compare results from with those found using Fubini-Study method [2]. For general...

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including effects polarization, electric and derivative expansion. enumerate transport coefficients at leading order in derivatives, electrical conductivities, viscosities, thermodynamic coefficients. find constraints on due positivity entropy production, derive corresponding Kubo formulas. For neutral state a magnetic field, small fluctuations include Alfvén waves, magnetosonic dissipative...

A bstract We study the doubly holographic model of [1] in situation where a black hole two-dimensional JT gravity theory is coupled to an auxiliary bath system at arbitrary finite temperature. Depending on initial temperature relative temperature, can lose mass by emitting Hawking radiation, stay equilibrium with or gain absorbing thermal radiation from bath. In all these scenarios, unitary Page curve obtained applying usual prescription for entanglement entropy and identifying quantum...

A bstract Recently, new holographic models of black hole evaporation have given fresh insights into the information paradox [1–3]. In these models, evaporates an auxiliary bath space after a quantum quench, wherein theory and are joined. One particularly exciting development is appearance ‘ER=EPR’-like wormholes in (doubly) model [3]. At late times, entanglement wedge includes interior hole. this paper, we employ both numerical analytic methods to study how about encoded Hawking radiation....

We investigate the variation of holographic complexity for two nearby target states. Based on Nielsen's geometric approach, we find only depends end point optimal trajectory, a result which designate first law complexity. As an example, examine $\text{complexity}=\text{action}$ conjecture when anti--de Sitter vacuum is perturbed by scalar field excitation, corresponds to coherent state. Remarkably, gravitational contributions completely cancel and final reduces boundary term coming entirely...

A bstract We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact a CFT on circle, following the doubly holographic braneworld models constructed [1–3]. compute Page curve of hole (or bath CFTs), which amounts to finding different geodesics bulk BTZ geometry Randall-Sundrum brane falling into hole. also explore possibility including an intrinsic JT gravity action brane. As expected, generalized entropy rises linearly at early times....

We study the complexity of Gaussian mixed states in a free scalar field theory using 'purification complexity'. The latter is defined as lowest value circuit complexity, optimized over all possible purifications given state. argue that optimal only contain essential number ancillary degrees freedom necessary order to purify also introduce concept 'mode-by-mode purifications' where each mode state purified separately and examine extent which such are optimal. explore purification for thermal...

We investigate the first law of complexity proposed in arXiv:1903.04511, i.e., variation when target state is perturbed, more detail. Based on Nielsen's geometric approach to quantum circuit complexity, we find only depends end optimal circuit. apply gain new insights into circuits and models underlying holographic complexity. In particular, examine for both complexity=action complexity=volume conjectures perturbing AdS vacuum with coherent excitations a free scalar field. also variations...

A bstract We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime 2+1 dimensions, with an end of world (ETW) brane behind horizon. allow possibility intrinsic gravitational dynamics form Jackiw-Teitelboim (JT) gravity to be localized on brane. compute asymptotic rate change analytically and obtain full time dependence using numerical techniques. find that inclusion JT leads interesting effects holographic complexity. identify region parameter...

Stealth precision polymer nanofibers show great promise as therapeutic delivery systems. Yet existing systems are largely limited to poly(ethylene glycol) (PEG) and suffer from challenging functionalization, hampering their translation. This work develops a modular, easily functionalizable platform for biocompatible stealth based on combination of ring‐opening polymerisation (ROP), photoinduced electron/energy transfer reversible addition–fragmentation chain (PET‐RAFT) polymerisation,...

A bstract Within the AdS/CFT correspondence, computational complexity for reduced density matrices of holographic conformal field theories has been conjectured to be related certain geometric observables in dual gravity theory. We study this conjecture from both and theory point view. Specifically, we consider a measure associated Bures metric on space matrices. compute mixed states single intervals descendant vacuum 2d CFTs. Moreover, derive first principles observable which is localized...

We revisit the model of an AdS$_2$ black hole in JT gravity evaporating into external bath. study when, and how much, information about interior can be accessed through different portions Hawking radiation collected bath, we obtain corresponding full quantitative Page curves. As a refinement previous results, describe island phase transition for semi-infinite segment establishing access to times within regime applicability model. For finite-size segments one needs include purifier...

We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective theory methods. determine constitutive equations for energy-momentum tensor and axial charge current, in part from generating functional. Furthermore, we derive Kubo formulas which relate two-point functions current 27 transport coefficients: 8 independent thermodynamic, 4 non-dissipative hydrodynamic, 10 dissipative coefficients....

We study the doubly holographic model of [arXiv:1908.10996] in situation where a black hole two-dimensional JT gravity theory is coupled to an auxiliary bath system at arbitrary finite temperature. Depending on initial temperature relative temperature, can lose mass by emitting Hawking radiation, stay equilibrium with or gain absorbing thermal radiation from bath. In all these scenarios, unitary Page curve obtained applying usual prescription for entanglement entropy and identifying quantum...

We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space eternal black holes quantum with a negative cosmological constant any dimension. approach problem by computing trace two-sided observables as sum over recently constructed family semiclassically well-controlled hole microstates. These microstates, which contain heavy matter shells behind horizon and form an overcomplete basis space, exist theory general relativity its low...

We construct and count the microstates of out-of-equilibrium eternal AdS black holes in which a shell carrying an order one fraction hole mass is emitted from past horizon re-absorbed at future horizon. Our have semiclassical interpretations terms matter propagating behind show that they span Hilbert space with dimension equal to exponential area intermediate hole. This consistent idea that, non-equilibrium setting, entropy logarithm number microscopic configurations dynamical macroscopic...

Within the AdS/CFT correspondence, computational complexity for reduced density matrices of holographic conformal field theories has been conjectured to be related certain geometric observables in dual gravity theory. We study this conjecture from both and theory point view. Specifically, we consider a measure associated Bures metric on space matrices. compute mixed states single intervals descendant vacuum 2d CFTs. Moreover, derive first principles observable which is localized entanglement...

We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime 2+1 dimensions, with an end of world (ETW) brane behind horizon. allow possibility intrinsic gravitational dynamics form Jackiw-Teitelboim (JT) gravity to be localized on brane. compute asymptotic rate change analytically and obtain full time dependence using numerical techniques. find that inclusion JT leads interesting effects holographic complexity. identify region parameter space...