Per Moosavi
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View article: Quantum Hall edges beyond the plasma analogy
Quantum Hall edges beyond the plasma analogy Open
We demonstrate that the widely used plasma analogy is unreliable at predicting edge properties of quantum Hall states. This discrepancy arises from a fundamental difference between quantum Hall droplets and plasmas (Coulomb gases): The for…
View article: Chiral Instabilities in Driven-Dissipative Quantum Liquids
Chiral Instabilities in Driven-Dissipative Quantum Liquids Open
We investigate the nonequilibrium dynamics of periodically driven Tomonaga-Luttinger liquids (TLLs) coupled to a thermal bath using a Floquet-Lindblad approach. When the coupling to the bath satisfies detailed balance, we obtain a conditio…
View article: Perfect Wave Transfer in Continuous Quantum Systems
Perfect Wave Transfer in Continuous Quantum Systems Open
The transfer of information from one part of a quantum system to another is fundamental to the understanding and design of quantum information processing devices. In the realm of discrete systems, such as spin chains, inhomogeneous network…
View article: Anisotropic Quantum Hall Droplets
Anisotropic Quantum Hall Droplets Open
We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian en…
View article: Marginal quenches and drives in Tomonaga-Luttinger liquids
Marginal quenches and drives in Tomonaga-Luttinger liquids Open
We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactificat…
View article: Stability of the Classical Catenoid and Darboux–Pöschl–Teller Potentials
Stability of the Classical Catenoid and Darboux–Pöschl–Teller Potentials Open
We revisit the stability (instability) of the outer (inner) catenoid connecting two concentric circular rings and give an explicit new construction of the unstable mode of the inner catenoid by studying the spectrum of an exactly solvable …
View article: Exact Dirac-Bogoliubov-de Gennes Dynamics for Inhomogeneous Quantum Liquids
Exact Dirac-Bogoliubov-de Gennes Dynamics for Inhomogeneous Quantum Liquids Open
We study inhomogeneous 1+1-dimensional quantum many-body systems described by Tomonaga-Luttinger-liquid theory with general propagation velocity and Luttinger parameter varying smoothly in space, equivalent to an inhomogeneous compactifica…
View article: Marginal quenches and drives in Tomonaga-Luttinger liquids
Marginal quenches and drives in Tomonaga-Luttinger liquids Open
We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactificat…
View article: Breaking of Huygens–Fresnel principle in inhomogeneous Tomonaga–Luttinger liquids
Breaking of Huygens–Fresnel principle in inhomogeneous Tomonaga–Luttinger liquids Open
Tomonaga–Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by…
View article: Geometric approach to inhomogeneous Floquet systems
Geometric approach to inhomogeneous Floquet systems Open
We present a new geometric approach to Floquet many-body systems described by inhomogeneous conformal field theory in 1+1 dimensions. It is based on an exact correspondence with dynamical systems on the circle that we establish and use to …
View article: Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids Open
Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by…
View article: Stability of the classical catenoid and Darboux-Pöschl-Teller potentials
Stability of the classical catenoid and Darboux-Pöschl-Teller potentials Open
We revisit the stability (instability) of the outer (inner) catenoid connecting two concentric circular rings and give an explicit new construction of the unstable mode of the inner catenoid by studying the spectrum of an exactly solvable …
View article: Emergence of generalized hydrodynamics in the non-local Luttinger model
Emergence of generalized hydrodynamics in the non-local Luttinger model Open
We propose the Luttinger model with finite-range interactions as a simple tractable example in 1+1 dimensions to analytically study the emergence of Euler-scale hydrodynamics in a quantum many-body system. This non-local Luttinger model is…
View article: Report on 2003.10993v2
Report on 2003.10993v2 Open
We propose the Luttinger model with finite-range interactions as a simple tractable example in 1+1 dimensions to analytically study the emergence of Euler-scale hydrodynamics in a quantum many-body system.This non-local Luttinger model is …
View article: Report on 2003.10993v2
Report on 2003.10993v2 Open
We propose the Luttinger model with finite-range interactions as a simple tractable example in 1+1 dimensions to analytically study the emergence of Euler-scale hydrodynamics in a quantum many-body system.This non-local Luttinger model is …
View article: Diffusive Heat Waves in Random Conformal Field Theory
Diffusive Heat Waves in Random Conformal Field Theory Open
We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain …
View article: Non-equilibrium dynamics of exactly solvable quantum many-body systems
Non-equilibrium dynamics of exactly solvable quantum many-body systems Open
Recent experimental advances on ultracold atomic gases and trapped ions have made it possible to simulate exactly solvable quantum systems of interacting particles. In particular, the feasibility of making rapid changes, so-called quantum …
View article: Time evolution of the Luttinger model with nonuniform temperature profile
Time evolution of the Luttinger model with nonuniform temperature profile Open
We study the time evolution of a one-dimensional interacting fermion system described by the Luttinger model starting from a nonequilibrium state defined by a smooth temperature profile T (x). As a specific example we consider the case whe…
View article: Interacting fermions and non-equilibrium properties of one-dimensional many-body systems
Interacting fermions and non-equilibrium properties of one-dimensional many-body systems Open
Recent experimental progress on ultracold atomic gases have opened up the possibility to simulate many-body systems out of equilibrium. We consider such a system described by the Luttinger model, which is a model of interacting fermions in…
View article: Construction by bosonization of a fermion-phonon model
Construction by bosonization of a fermion-phonon model Open
We discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. W…