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Asymptotic Purification of Quantum Trajectories under Disordered Generalized Measurements
Asymptotic Purification of Quantum Trajectories under Disordered Generalized Measurements
We develop a general framework to study quantum trajectories resulting from repeated random measurements subject to statio...
Semi-classical Limit of the Massive Klein–Gordon–Maxwell System Toward the Relativistic Pressureless Euler–Maxwell System via an Adapted Modulated Energy Method
Semi-classical Limit of the Massive Klein–Gordon–Maxwell System Toward the Relativistic Pressureless Euler–Maxwell System via an Adapted Modulated Energy Method
We show that the momentum, the density, and the electromagnetic field associated with the massive Klein–Gordon–...
A Mathematical Foundation for Self-testing: Lifting Common Assumptions
A Mathematical Foundation for Self-testing: Lifting Common Assumptions
In this work, we study the phenomenon of self-testing from the first principles, aiming to place this versatile concept on...
Belavkin–Staszewski Quantum Markov Chains
Belavkin–Staszewski Quantum Markov Chains
It is well known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is ...
B-brane Transport in Nonabelian GLSMs for $$K_{Gr(2,N)}$$
B-brane Transport in Nonabelian GLSMs for $$K_{Gr(2,N)}$$
We study the properties of B-branes in a class of nonabelian GLSMs realizing the canonical line bundle $$K_$$ in their geo...
A New Construction of $$c=1$$ Virasoro Blocks
A New Construction of $$c=1$$ Virasoro Blocks
We introduce a nonabelianization map for conformal blocks, which relates $$c=1$$ Virasoro blocks on a Riemann surface C to...
Exponentially Fast Selection of Sectors for Quantum Trajectories Beyond Non-demolition Measurements
Exponentially Fast Selection of Sectors for Quantum Trajectories Beyond Non-demolition Measurements
We show that, in long-time, quantum trajectories select an invariant subspace of the Hilbert space of the system being ind...
Refined Painlevé/Gauge Theory Correspondence and Quantum Tau Functions
Refined Painlevé/Gauge Theory Correspondence and Quantum Tau Functions
In this paper we study strong coupling asymptotic expansions of $$\mathcal =2$$ four-dimensional SU(2) gauge theory partit...
Large Scale Response of Gapless 1 and Quasi-1 Systems
Large Scale Response of Gapless 1 and Quasi-1 Systems
We consider the transport properties of non-interacting, gapless one-dimensional quantum systems and of the edge modes of ...
On the Initial Boundary Value Problem for the Einstein Vacuum Equations in the Maximal Gauge
On the Initial Boundary Value Problem for the Einstein Vacuum Equations in the Maximal Gauge
We consider the initial boundary value problem for the Einstein vacuum equations in the maximal gauge, or more generally, ...
The Rank Two Jacobi Algebra
The Rank Two Jacobi Algebra
The quadratic rank two Jacobi algebra is identified from the relations obeyed by the bispectral operators of the two-varia...
Dynamical Phase Diagram of the REM Under Independent Spin-Flips
Dynamical Phase Diagram of the REM Under Independent Spin-Flips
We study the energy landscape of the random energy model (REM) integrated along trajectories of the simple random walk on ...
Propagators in Curved Spacetimes from Operator Theory
Propagators in Curved Spacetimes from Operator Theory
We discuss two distinct operator-theoretic settings useful for describing (or defining) propagators associated with a scal...
Ground State Energy of Dilute Bose Gases with Two-Body and Three-Body Interactions
Ground State Energy of Dilute Bose Gases with Two-Body and Three-Body Interactions
We study dilute Bose gases in the thermodynamic limit interacting via two-body and three-body interaction potentials. We p...
Full Universal Enveloping Vertex Algebras from Factorisation
Full Universal Enveloping Vertex Algebras from Factorisation
We give a systematic construction of the symmetries, or observables in the vacuum sector, of a full conformal field theory...
Ambitwistor Yang–Mills Theory Revisited
Ambitwistor Yang–Mills Theory Revisited
Inspired by the Movshev–Mason–Skinner Cauchy–Riemann (CR) ambitwistor approach, we provide a rigorous ye...
The Backscattering Problem for Time-Dependent Potentials
The Backscattering Problem for Time-Dependent Potentials
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipschitz stability for...
Boundary Conditions and Violations of Bulk-Edge Correspondence in a Hydrodynamic Model
Boundary Conditions and Violations of Bulk-Edge Correspondence in a Hydrodynamic Model
Bulk-edge correspondence is a wide-ranging principle that applies to topological matter, as well as a precise result estab...
Pfaffian Structure of the Eigenvector Overlap for the Symplectic Ginibre Ensemble
Pfaffian Structure of the Eigenvector Overlap for the Symplectic Ginibre Ensemble
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ense...
Spectral Regularity and Defects for the Kohmoto Model
Spectral Regularity and Defects for the Kohmoto Model
We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimat...
Current Fluctuations for the Boundary-Driven Zero-Range Process on Graphs: Microscopic Versus Macroscopic Approach and a Theory of Non-reversible Resistor-Like Networks
Current Fluctuations for the Boundary-Driven Zero-Range Process on Graphs: Microscopic Versus Macroscopic Approach and a Theory of Non-reversible Resistor-Like Networks
We compute the joint large deviation rate functional in the limit of large time for the current flowing through the edges ...
On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
We prove that the Hausdorff dimension of the spectrum of a discrete Schrödinger operator with Sturmian potential of b...
On the Lyapunov Exponent for the Random Field Ising Transfer Matrix, in the Critical Case
On the Lyapunov Exponent for the Random Field Ising Transfer Matrix, in the Critical Case
We study the top Lyapunov exponent of a product of random $$2 \times 2$$ matrices appearing in the analysis of several sta...
On the Phase Diagram of the Multiscale Mean-Field Spin-Glass
On the Phase Diagram of the Multiscale Mean-Field Spin-Glass
In this paper, we study the phase diagram of a Sherrington-Kirkpatrick (SK) model where the couplings are forced to therma...
Quantum Algebra of Chern-Simons Matrix Model and Large Limit
Quantum Algebra of Chern-Simons Matrix Model and Large Limit
In this paper we study the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed b...
The Power of the Anomaly Consistency Condition for the Master Ward Identity: Conservation of the Non-Abelian Gauge Current
The Power of the Anomaly Consistency Condition for the Master Ward Identity: Conservation of the Non-Abelian Gauge Current
Extending local gauge transformations in a suitable way to Faddeev–Popov ghost fields, one obtains a symmetry of the...
Refining Ky Fan’s Majorization Relation with Linear Programming
Refining Ky Fan’s Majorization Relation with Linear Programming
A separable version of Ky Fan’s majorization relation is proven for a sum of two operators that are each a tensor pr...
High-Density Hard-Core Model on Triangular and Hexagonal Lattices
High-Density Hard-Core Model on Triangular and Hexagonal Lattices
We perform a rigorous study of the Gibbs statistics of high-density hard-core random configurations on a unit triangular l...
Convergence of operators with deficiency indices (k, k) and of their self-adjoint extensions
Convergence of operators with deficiency indices (k, k) and of their self-adjoint extensions
We consider an abstract sequence $$\_^\infty $$ of closed symmetric operators on a separable Hilbert space $$}$$ . It is a...
Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and $$L_\infty $$ -algebras
Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and $$L_\infty $$ -algebras
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of space-time and a classica...
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