Coherent excitation of a two-state system by a Lorentzian field

• URL: http://arxiv.org/abs/2607.27466v1
• Date: Wed, 29 Jul 2026 21:10:24 GMT
• Title: Coherent excitation of a two-state system by a Lorentzian field
• Abstract summary: We study the coherent excitation of a two-state quantum system by a field with a Lorentzian temporal envelope and constant carrier frequency.<n>For the transition probability we develop a Dykhne-Davis-Pechukas (DDP) description based on the two relevant complex transition points and their interference.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the coherent excitation of a two-state quantum system by a field with a Lorentzian temporal envelope and constant carrier frequency. The associated differential equation admits an exact local representation in terms of confluent Heun functions. For the transition probability we develop a Dykhne-Davis-Pechukas (DDP) description based on the two relevant complex transition points and their interference. The DDP action is analyzed directly in the weak- and strong-coupling limits, yielding explicit asymptotic expressions for the oscillation phase, oscillation envelope, far-detuned line shape, and near-resonant behavior. In particular, the strong-coupling asymptotics imply a linewidth proportional to the inverse peak Rabi frequency for resonant odd-$π$ pulses, thereby exhibiting the power-narrowing characteristic of the Lorentzian pulse.

Related papers

• Orientation-dependent Pauli noise in one-dimensional discrete-time quantum walks [41.99844472131922]
  We study the long-time dynamics of a one-dimensional discrete-time quantum walk under Pauli noise acting on the coin.<n>All channels induce a crossover from ballistic to diffusive spreading, with a second moment growing linearly at long times.<n>The quantum-to-classical transition is governed by the relative alignment of the noise, the coherent walk dynamics, and the initial state.
  arXiv  Detail & Related papers  (2026-09-11T18:02:03Z)
• Chiral doublon bound states in a synthetic topological waveguide [4.523537119901927]
  We investigate a triangular ladder waveguide in which a pair of emitters forms a doublon bound state through strong nearest-neighbor interactions.<n>By mapping the doublon dynamics onto an effective SSH chain, we show that the system is equivalent to an effective emitter coupled to a topological doublon bath.<n>Our results provide a route toward engineering tunable many-body interactions between correlated photon pairs and realizing nonlinear quantum networks based on flying doublons.
  arXiv  Detail & Related papers  (2026-08-24T02:09:42Z)
• Driving collective RPA modes by a time-dependent Dyson map [0.0]
  We study a bosonic mode coupled to collective particle-hole excitations in the Schtte-DaProvidncia model.<n>Using a time-dependent Dyson map, we construct a Hermitian counterpart and reduce the collective fermionic sector.<n>The resulting dynamics is mapped to two time-dependent harmonic-oscillator branches.
  arXiv  Detail & Related papers  (2026-07-03T17:01:40Z)
• The Double Well Done Doubly-Well [0.17188280334580197]
  symmetric double-well potential is one of the simplest quantum-mechanical systems in which perturbative and non-perturbative physics are deeply entangled.<n>Resurgence ties the two features together, organizing the exact spectrum into a single tightly-constrained trans-series.<n>This paper gives a self-contained account of this trans-series from two complementary approaches.
  arXiv  Detail & Related papers  (2026-06-03T18:00:01Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Signatures of coherent energy transfer and exciton delocalization in time-resolved optical cross correlations [45.88028371034407]
  We investigate how optical second-order cross correlations witness the quantum features of a prototype donor-acceptor light-harvesting unit.<n>Our work strengthens the idea that measurements of the intensity quantum cross correlations can provide distinctive signatures of the quantum behavior of biophysical emitters.
  arXiv  Detail & Related papers  (2025-12-19T16:19:25Z)
• Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory [39.146761527401424]
  We study the effect of back-reaction and quantum fluctuations on the coupled dynamics of the full fermion-boson system.<n>Our results reveal how back-reaction and quantum fluctuations modify the stability and real-time evolution of fractionalized fermions.
  arXiv  Detail & Related papers  (2025-12-08T17:34:53Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Dynamical quantum phase transitions following a noisy quench [0.0]
  We study how time-dependent energy fluctuations impact the quantum phase transitions following a noisy quench of the transverse magnetic field in a quantum Ising chain.<n>We trace the phenomenon to the interplay between noise-induced excitations which accumulate during the quench and the nearadiabatic dynamics of the system.
  arXiv  Detail & Related papers  (2023-10-20T07:56:47Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Coherence of resonant light-matter interaction in the strong-coupling limit [0.0]
  We derive analytical expressions for the spectrum and the intensity correlation function for photons scattered by the two-state atom coupled to the coherently driven cavity mode. We increase the driving field amplitude and approach the critical point organizing a second-order dissipative quantum phase transition.
  arXiv  Detail & Related papers  (2021-05-27T13:17:28Z)

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.