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Geometry and response of Lindbladians
Markovian reservoir engineering, in which time evolution of a quantum system is governed
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …
Topological charge pum** in the interacting bosonic Rice-Mele model
We investigate topological charge pum** in a system of interacting bosons in the tight-
binding limit, described by the Rice-Mele model. An appropriate topological invariant for the …
binding limit, described by the Rice-Mele model. An appropriate topological invariant for the …
Observation of topological Uhlmann phases with superconducting qubits
Topological insulators and superconductors at finite temperature can be characterized by
the topological Uhlmann phase. However, a direct experimental measurement of this …
the topological Uhlmann phase. However, a direct experimental measurement of this …
Dissipative topological phase transition with strong system-environment coupling
A primary motivation for studying topological matter regards the protection of topological
order from its environment. In this work, we study a topological emitter array coupled to an …
order from its environment. In this work, we study a topological emitter array coupled to an …
Topology and observables of the non-Hermitian Chern insulator
Topology now plays a central role in physics, yet its applications have so far been restricted
to closed, lossless systems in thermodynamic equilibrium. Given that many physical systems …
to closed, lossless systems in thermodynamic equilibrium. Given that many physical systems …
Spontaneous -symmetry breaking in non-Hermitian coupled-cavity array
We study the effects of the position of the passive and active cavities on the spontaneous
parity-time-(PT-) symmetry-breaking behavior in a non-Hermitian coupled-cavity-array …
parity-time-(PT-) symmetry-breaking behavior in a non-Hermitian coupled-cavity-array …
Lindbladians with multiple steady states: theory and applications
VV Albert - arxiv preprint arxiv:1802.00010, 2018 - arxiv.org
Markovian master equations, often called Liouvillians or Lindbladians, are used to describe
decay and decoherence of a quantum system induced by that system's environment. While a …
decay and decoherence of a quantum system induced by that system's environment. While a …
Symmetry-protected topological phases at finite temperature
We have applied the recently developed theory of topological Uhlmann numbers to a
representative model of a topological insulator in two dimensions, the Qi–Wu–Zhang model …
representative model of a topological insulator in two dimensions, the Qi–Wu–Zhang model …
Non-Markovian linear response theory for quantum open systems and its applications
HZ Shen, DX Li, XX Yi - Physical Review E, 2017 - APS
The Kubo formula is an equation that expresses the linear response of an observable due to
a time-dependent perturbation. It has been extended from closed systems to open systems …
a time-dependent perturbation. It has been extended from closed systems to open systems …
General response formula and application to topological insulator in quantum open system
It is well-known that the quantum linear response theory is based on the first-order
perturbation theory for a system in thermal equilibrium. Hence, this theory breaks down …
perturbation theory for a system in thermal equilibrium. Hence, this theory breaks down …