318 citations · 688 across the 15 of their papers we have counts for
16 papers
Subsystem self-correction of the GKP qubit
Brian Chung Hang Cheung, Lasse Bjørn Kristensen, Frederik Nathan +1
Passive quantum error correction, also known as self-correction, is a holy grail in quantum information science. Recent theoretical advances suggest that the Gottesman-Kitaev-Presk…
Markovian quantum master equations are exponentially accurate in the weak coupling regime
Johannes Agerskov, Frederik Nathan
We consider the evolution of open quantum systems coupled to one or more Gaussian environments. We demonstrate that such systems can be described by a Markovian quantum master equa…
Ancilla-train quantum algorithm for simulating non-Markovian open quantum systems
Hans Michael Christensen, Johannes Agerskov, Frederik Nathan
We present a quantum algorithm for simulating open quantum systems coupled to Gaussian environments valid for any configuration and coupling strength. The algorithm is applicable t…
Achieving quantized transport in Floquet topological insulators via energy filters
Ruoyu Zhang, Frederik Nathan, Netanel H. Lindner +1
Due to photon-assisted transport processes, chiral edge modes induced by periodic driving do not directly mediate quantized transport. Here we show how narrow bandwidth "energy fil…
Quantum geometry and bounds on dissipation in slowly driven quantum systems
Iliya Esin, Étienne Lantagne-Hurtubise, Frederik Nathan +1
We show that energy dissipation in slowly-driven, Markovian quantum systems at low temperature is linked to the geometry of the driving protocol through the quantum (or Fubini-Stud…
Quantifying the accuracy of steady states obtained from the Universal Lindblad Equation
Frederik Nathan, Mark S. Rudner
We show that steady-state expectation values predicted by the universal Lindblad equation (ULE) are accurate up to bounded corrections that scale linearly with the effective system…
Topological frequency conversion in Weyl semimetals
Frederik Nathan, Ivar Martin, Gil Refael
We theoretically predict a new working principle for optical amplification, based on Weyl semimetals: when a Weyl semimetal is suitably irradiated at two frequencies, electrons clo…
Response to "Comment on Universal Lindblad Equation for open quantum systems"
Frederik Nathan, Mark S. Rudner
In a recent comment, Lee and Yeo show that the Gibbs state is not generically an exact steady state of the Universal Lindblad Equation (ULE) that we developed in Phys. Rev. B 102,…
Quasiperiodic Floquet-Thouless energy pump
Frederik Nathan, Rongchun Ge, Snir Gazit +2
Recent work [M. H. Kolodrubetz et al, PRL 120, 150601] has demonstrated that periodically driven one-dimensional fermionic systems can support quantized energy pumping resulting fr…
Quantum frequency locking and down-conversion in a driven cavity-qubit system
Frederik Nathan, Gil Refael, Mark S. Rudner +1
We study a periodically driven qubit coupled to a quantized cavity mode. Despite its apparent simplicity, this system supports a rich variety of exotic phenomena, such as topologic…
Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
Frederik Nathan, Dmitry A. Abanin, Netanel H. Lindner +2
We uncover a new family of few-body topological phases in periodically driven fermionic systems in two dimensions. These phases, which we term correlation-induced anomalous Floquet…
Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
Frederik Nathan, Ivar Martin, Gil Refael
Recent work (PRX 7, 041008) has shown that a spin coupled to two externally supplied circularly-polarized electromagnetic modes can effectuate a topological, quantized transfer of…
Anomalous Floquet Insulators
Frederik Nathan, Dmitry Abanin, Erez Berg +2
We demonstrate the existence of a two-dimensional anomalous Floquet insulator (AFI) phase: an interacting (periodically-driven) non-equilibrium topological phase of matter with no…
Topological Floquet-Thouless energy pump
Michael H. Kolodrubetz, Frederik Nathan, Snir Gazit +2
We explore adiabatic pumping in the presence of periodic drive, finding a new phase in which the topologically quantized pumped quantity is energy rather than charge. The topologic…
Quantized magnetization density in periodically driven systems
Frederik Nathan, Mark S. Rudner, Netanel H. Lindner +2
We study micromotion in two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We show that this micromotion gives rise to a q…
Topological singularities and the general classification of Floquet-Bloch systems
Frederik Nathan, Mark S. Rudner
Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional…