Sambe Approach to Floquet-Lindblad Open Quantum Systems
- URL: http://arxiv.org/abs/2606.09727v1
- Date: Mon, 08 Jun 2026 16:50:52 GMT
- Title: Sambe Approach to Floquet-Lindblad Open Quantum Systems
- Abstract summary: We study driven and open quantum systems described by a time-periodic Lindblad master equation.<n>We show how to obtain a spectral Floquet representation of correlation functions of an open quantum system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study driven and open quantum systems described by a time-periodic Lindblad master equation. In closed systems, the stroboscopic dynamics can always be described by an effective time-independent Floquet Hamiltonian; this idea is the basis of Floquet engineering. However, in the presence of dissipation, the existence of an effective time-independent Floquet Lindbladian is not guaranteed due to the non-unitary nature of the evolution. Using Floquet theory, we construct a well-defined time-independent Floquet Lindbladian in an extended Sambe-Liouville space, transforming the initial time-dependent problem to a static and non-Hermitian eigenvalue problem. For harmonic driving, we introduce a matrix continued fraction method to nonperturbatively resum multiphoton processes and construct an effective Floquet Lindbladian acting only on the physical Liouville space. Compared to other high-frequency expansions, this method has the advantage of providing the whole infinite series expansion at once. Using a resolvent formalism, we show how to obtain a spectral Floquet representation of correlation functions of an open quantum system. As an application, we consider a dissipating two-level system in a linearly polarized field and calculate its resonance fluorescence spectrum. Furthermore, we consider a parametrically driven quantum dot with pump and loss for which we calculate its spectral function and current-voltage characteristics.
Related papers
- Floquet time-convolutionless master equation for non-Markovian driven quantum systems [0.0]
We study the dynamics of open quantum systems driven by an external time-periodic force.<n>We derive a time-local quantum master equation which takes into account the periodic driving.<n>We show that this master equation is capable of describing strong non-Markovian effects.
arXiv Detail & Related papers (2026-07-27T13:22:22Z) - Anomalous Mixed-State Floquet Topology in One-Dimensional Open Quantum Systems [41.99844472131922]
We investigate the non-equilibrium topology of a periodically driven, dissipative Su-Schrieffer-Heeger chain.<n>We show that the steady state can be characterised by a Hermitian purity spectrum.<n>We identify a pair of topological invariants $(0_mathrmEGP, _mathrmEGP)$, revealing a structure consistent with a $mathbbZtimesmathbbZ$ classification known from isolated Floquet SSH systems.
arXiv Detail & Related papers (2026-04-28T05:54:40Z) - Anomalous Mean-Squared Displacement in Quantum Active Matter from a Wigner Phase-Space Framework [37.67844851574835]
We develop a full quantum description based on the Wigner function.<n>We analytically derive the time dependence of the quantum mean-squared displacement.
arXiv Detail & Related papers (2026-04-24T14:27:38Z) - Floquet-ADAPT-VQE: A Quantum Algorithm to Simulate Non-Equilibrium Physics in Periodically Driven Systems [4.552732026168532]
We use the Floquet-Hilbert space formalism to transform the Hamiltonian into a time-independent form and provide its Pauli decomposition.<n>We propose a hybrid quantum-classical algorithm, Floquet-ADAPT-VQE, to simulate the non- equilibrium physics of periodically driven quantum systems.
arXiv Detail & Related papers (2025-03-14T17:32:52Z) - Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator [49.1574468325115]
We study simultaneous symmetry breaking in spontaneous Floquet states, focusing on the specific case of an atomic condensate.<n>We first describe the quantization of the Nambu-Goldstone (NG) modes for a stationary state simultaneously breaking several symmetries of the Hamiltonian.<n>We extend the formalism to Floquet states, where Goldstone theorem translates into the emergence of Floquet-Nambu-Goldstone modes with zero quasi-energy.
arXiv Detail & Related papers (2024-02-16T16:06:08Z) - Periodically Driven Open Quantum Systems: Spectral Properties and Non-Equilibrium Steady States [3.319719042621334]
We discuss Lindblad master equations in the presence of a coherent, time-periodic driving.
We prove that any physical system described by a Floquet-Lindblad equation must have at least one textitphysical non-equilibrium steady state.
arXiv Detail & Related papers (2023-12-30T03:43:47Z) - Third quantization of open quantum systems: new dissipative symmetries
and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods.
We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians.
For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z) - Fractional Floquet theory [91.3755431537592]
The fractional Floquet theorem (fFT) is formulated in the form of the Mittag-Leffler function.
The formula makes it possible to reduce the FTSE to the standard quantum mechanics with the time-dependent Hamiltonian.
arXiv Detail & Related papers (2023-02-05T09:01:32Z) - Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the
spectrum of time-independent and Floquet open quantum systems [0.0]
We propose a new method to efficiently provide the Liouvillian spectral decomposition.
We call this method an Arnoldi-Lindblad time evolution.
It produces the steady state through time evolution shorter than needed for the system to reach stationarity.
arXiv Detail & Related papers (2021-09-03T17:52:07Z) - High-frequency expansions for time-periodic Lindblad generators [68.8204255655161]
Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian.
We show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.
arXiv Detail & Related papers (2021-07-21T12:48:39Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.