Superadiabatic Landau-Zener transitions

• URL: http://arxiv.org/abs/2408.03173v1
• Date: Tue, 6 Aug 2024 13:16:32 GMT
• Title: Superadiabatic Landau-Zener transitions
• Authors: Jonas R. F. Lima, Guido Burkard,
• Abstract summary: Landau-Zener problem characterized by distinct paths of the instantaneous eigenstates as the system evolves in time. Superadiabatic LZ model can describe valley transition dynamics during charge and spin shuttling in semiconductor quantum dots.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The transition dynamics of two-state systems with time-dependent energy levels, first considered by Landau, Zener, Majorana, and St\"uckelberg, is one of the basic models in quantum physics and has been used to describe various physical systems. We propose here a generalization of the Landau-Zener (LZ) problem characterized by distinct paths of the instantaneous eigenstates as the system evolves in time, while keeping the instantaneous eigenenergies exactly as in the standard LZ model. We show that these paths play an essential role in the transition probability $P$ between the two states, and can lead to superadiabatic transitions, i.e., to a substantial reduction of $P$. As an instructive extreme case, we identify an unconditionally adiabatic regime with $P=0$ no matter how fast the system evolves in time and regardless of the energy gap between the two levels at the anticrossing point. On the other hand, large $P$ occur even in the absence of any anticrossing point. These phenomena can be explained by observing the rotation of the instantaneous eigenvectors on the Bloch sphere. The superadiabatic LZ model can describe valley transition dynamics during charge and spin shuttling in semiconductor quantum dots.

Related papers

• Topological Signatures of Magnetic Phase Transitions with Majorana Fermions through Local Observables and Quantum Information [2.7204116565403744]
  The one-dimensional (1D) $J_1-J$ quantum spin model can be viewed as a strong-coupling analogue of the Schrieffer-Su-Heeger model.<n>This model also maps onto a p-wave superconducting wire which shows a topological phase transition with the emergence of low-energy Majorana fermions.<n>This system may be realized in materials and engineered in quantum circuits, optical lattices.
  arXiv  Detail & Related papers  (2025-06-13T12:43:34Z)
• Rapid passage to ordered states in Rydberg atom arrays [14.300711995373826]
  We develop a rapid passage to ordered many-body states in a Rydberg atomic chain.<n>We experimentally validate the NQN scheme on the neutral-atom quantum cloud computer Aquila.
  arXiv  Detail & Related papers  (2025-04-27T12:33:54Z)
• Phase transitions, symmetries, and tunneling in Kerr parametric oscillators [37.69303106863453]
  We study the onset of ground-state and excited-state quantum phase transitions in KPOs.<n>We identify the critical points associated with quantum phase transitions and analyze their influence on the energy spectrum and tunneling dynamics.<n>Our findings provide insights into the engineering of robust quantum states, quantum dynamics control, and onset of quantum phase transitions with implications for critical quantum sensing.
  arXiv  Detail & Related papers  (2025-04-21T18:00:19Z)
• Statistical analysis of quantum trajectories in dissipative Landau-Zener model [0.0]
  We present statistics of quantum jumps in the two-level system with landau-Zener Hamiltonian that undergoes a Markovian process. Also, we show the role of bath temperature, coupling strength to the environment, and spin-coupling directions on the statistics of quantum jumps.
  arXiv  Detail & Related papers  (2024-10-04T16:41:08Z)
• Transport properties in a two-dimensional Su-Schrieffer-Heeger model in Quantum Hall Regime [12.642007500160142]
  We investigate the transport properties of a two-dimensional Su-Schrieffer-Heeger (2D SSH) model in the quantum Hall regime. We observe a transition from a gapped phase to a flat band regime at zero energy by varying the magnetic field. This transition is characterized by the emergence of highly localized states in the bulk or edges.
  arXiv  Detail & Related papers  (2024-09-25T11:45:37Z)
• Landau-Zener-Stückelberg interference in edge state pumping [18.60614534900842]
  Adiabatic edge state pumping (ESP) in one dimensional model has important applications in topological phase transition and quantum simulation. We show that this process involves two non-adiabatic points during the transition between the edge state and bulk state. In a relatively long chain with weak disorder, the ESP can break down due to the anti-crossing of the edge state and the bulk edge states.
  arXiv  Detail & Related papers  (2024-08-03T01:59:46Z)
• Tuning the initial phase to control the final state of a driven qubit [0.0]
  We study the Landau-Zener-Stuckelberg-Majorana (LZSM) single-passage problem starting from a superposition state. We demonstrate how varying the system parameters can be used for quantum coherent control.
  arXiv  Detail & Related papers  (2023-08-07T13:23:25Z)
• Superradiant phase transition induced by the indirect Rabi interaction [14.9787678220469]
  We study the superradiant phase transition (SPT) in an indirect Rabi model. We present the analytical expression of quantum critical point in terms of the original system parameters. Considering a hybrid magnon-cavity-qubit system, we predict the squeezed cat state of magnon generated with feasible experimental parameters.
  arXiv  Detail & Related papers  (2023-02-15T07:52:27Z)
• 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)
• Anatomy of Dynamical Quantum Phase Transitions [0.0]
  We study periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP) We find that a DQPT signals a change in the dominant contribution to the wave function in the degenerate initial-state manifold. Our work generalizes previous results and reveals that, in general, periodic DQPTs comprise complex many-body dynamics fundamentally beyond that of two-level systems.
  arXiv  Detail & Related papers  (2022-10-05T18:00:00Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Effect of decay of the final states on the probabilities of the Landau-Zener transitions in multistate non-integrable models [0.0]
  For a Landau-Zener transition in a two-level system, the probability for a particle, initially in the first level, to survive the transition and to remain in the first level, does not depend on whether or not the second level is broadened. The same question for the multistate Landau-Zener transition is addressed in the present paper.
  arXiv  Detail & Related papers  (2022-04-25T16:49:11Z)
• Peratic Phase Transition by Bulk-to-Surface Response [26.49714398456829]
  We show a duality between many-body dynamics and static Hamiltonian ground states for both classical and quantum systems. Our prediction of peratic phase transition has direct consequences in quantum simulation platforms such as Rydberg atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2021-09-27T18:00:01Z)
• Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons [58.720142291102135]
  We establish quantum features of an atomic soliton Josephson junction (SJJ) device. We show that the SJJ-model in quantum domain exhibits unusual features due to its effective nonlinear strength proportional to the square of total particle number. We have shown that the obtained quantum state is more resistant to few particle losses from the condensates if tiny components of entangled Fock states are present.
  arXiv  Detail & Related papers  (2020-11-26T09:26:19Z)
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions [0.0]
  Quenches designed with local time-dependent inhomogeneity can introduce a gap in the spectrum. We show that we get an adiabatic transition with no defects only when the inhomogeneous front moves slower than a characteristic crossover velocity. This effect can be employed for efficient adiabatic quantum state preparation in systems with long-range interactions.
  arXiv  Detail & Related papers  (2020-10-12T11:45:03Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.