Person

Marius Christopher Lemm

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Related publications (30)

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Condensation of fermion pairs in a domain

Marius Christopher Lemm

We consider a gas of fermions at zero temperature and low density, interacting via a microscopic two-body potential which admits a bound state. The particles are confined to a domain with Dirichlet boundary conditions. Starting from the microscopic BCS the ...

2017

We prove quantitative limitations on any approximate simultaneous cloning or broadcasting of mixed states. The results are based on information-theoretic (entropic) considerations and generalize the well-known no-cloning and no-broadcasting theorems. We al ...

2017

This paper consists of three parts. In part I, we microscopically derive Ginzburg–Landau (GL) theory from BCS theory for translation-invariant systems in which multiple types of superconductivity may coexist. Our motivation are unconventional superconducto ...

2016

On Anomalous Lieb-Robinson Bounds for the Fibonacci XY Chain

Marius Christopher Lemm

We rigorously prove a new kind of anomalous (or sub-ballistic) Lieb-Robinson bound for the isotropic XY chain with Fibonacci external magnetic field at arbitrary coupling. It is anomalous in that the usual exponential decay in

x-vt

is replaced by exponen ...

2016

Nematic elastomers and glasses are solids that display spontaneous distortion under external stimuli. Recent advances in the synthesis of sheets with controlled heterogeneities have enabled their actuation into nontrivial shapes with unprecedented energy d ...

2016

We consider the isotropic XY quantum spin chain in a random external field in the z direction, with single site distributions given by i.i.d. random variables times the critical decaying envelope j−1/2. Our motivation is the study of many-body localization ...

2016

On the Hölder regularity for the fractional Schrödinger equation and its improvement for radial data

Marius Christopher Lemm

We consider the linear, time-independent fractional Schrödinger equation. We are interested in the local Hölder exponents of distributional solutions ψ, assuming local L p integrability of the functions V and f. By standard arguments, we obtain the formula ...

2016

Monotonicity of quantum relative entropy and recoverability

Marius Christopher Lemm

The relative entropy is a principal measure of distinguishability in quantum information theory, with its most important property being that it is non-increasing with respect to noisy quantum operations. Here, we establish a remainder term for this inequal ...

2015

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea to improve over the original counterexamples by Ruzsa is to consider non-uniform probability measures. ...

2015

New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains

Marius Christopher Lemm

We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson (LR) bound for an isotropic XY chain in a quasiperiodic transversal magnetic field. Instead of the usual effective light cone |x|≤v|t|, we obtain |x|≤v|t| ...

2014

On Anomalous Lieb-Robinson Bounds for the Fibonacci XY Chain

Marius Christopher Lemm

x-vt

is replaced by exponen ...

2016