Nonreciprocal Landau-Zener Tunneling in the Presence of Heat-Bath-Induced Colored Noise

• URL: http://arxiv.org/abs/2605.25008v1
• Date: Sun, 24 May 2026 11:25:47 GMT
• Title: Nonreciprocal Landau-Zener Tunneling in the Presence of Heat-Bath-Induced Colored Noise
• Abstract summary: We investigate the effects of heat-bath-induced colored noise on nonreciprocal Landau-Zener tunneling.<n>For large nonreciprocity parameters, the adiabatic tunneling probability is insensitive to noise and determined by exceptional points.
• Score: 6.016206743568643
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we investigate the effects of heat-bath-induced colored noise on nonreciprocal Landau-Zener tunneling. We perform numerical calculations of the instantaneous energy levels and find that noise induces stochastic fluctuations in these levels. Beyond such fluctuations, sufficiently large nonreciprocity parameters enable noise to further trigger the emergence of multiple exceptional points. The corresponding tunneling probability is significantly modified by colored noise. On the one hand, colored noise generally enhances the tunneling probability under nonadiabatic sweeping. On the other hand, it can break the reciprocity of Landau-Zener tunneling in the adiabatic limit. In particular, for large nonreciprocity parameters, the adiabatic tunneling probability is insensitive to noise and determined by exceptional points. We plot the phase diagram of tunneling probability as a function of the sweep rate and nonreciprocity parameter, for different amplitudes and correlation times of colored noise. Analytically, we derive the exact expression for the tunneling probability in the absence of noise and an approximate solution in the white-noise limit, employing Weber functions and the Wiener-Hermite expansion method. Some implications of our theory are discussed.

Related papers

• Time-Dependent Tunneling in the Thin-Barrier Limit [0.0]
  We analyze tunneling when the action is small, as it is for tunneling across a tall, thin barrier.<n>We develop a perturbative analysis where the control parameter is the inverse of the area under the potential barrier.<n>In resonant situations for bound particles we find that the tunneling probability grows with time as $propto t2$, while in non-resonant situations it grows linearly with time.
  arXiv  Detail & Related papers  (2026-08-25T03:41:44Z)
• Nonlinear Landau-Zener Tunneling with Heat-Bath Colored Noise [6.016206743568643]
  We investigate the influence of colored noise originating from a heat bath on nonlinear Landau-Zener tunneling.<n>The nonlinearity might arise intrinsically from many-body mean-field atomic self-interactions or Kerr nonlinearities in optical systems.
  arXiv  Detail & Related papers  (2026-08-16T08:04:19Z)
• A driven quantum superconducting circuit with multiple tunable degeneracies [0.0]
  We present the experimental discovery of multiple simultaneous degeneracies in the spectrum of a Kerr oscillator subjected to a squeezing drive. Remarkably, these degeneracies can be turned on-and-off on demand, and their number is tunable.
  arXiv  Detail & Related papers  (2022-11-08T23:15:29Z)
• Multilevel resonant tunneling in the presence of flux and charge noise [64.0476282000118]
  Macroscopic resonant tunneling (MRT) in flux qubits is an important experimental tool for extracting information about noise produced by a qubit's surroundings. We present a detailed derivation of the MRT signal in the RF-SQUID flux qubit allowing for effects of flux and charge fluctuations on the interwell and intrawell transitions in the system.
  arXiv  Detail & Related papers  (2022-09-21T18:59:36Z)
• Stabilizing and improving qubit coherence by engineering noise spectrum of two-level systems [52.77024349608834]
  Superconducting circuits are a leading platform for quantum computing. Charge fluctuators inside amorphous oxide layers contribute to both low-frequency $1/f$ charge noise and high-frequency dielectric loss. We propose to mitigate those harmful effects by engineering the relevant TLS noise spectral densities.
  arXiv  Detail & Related papers  (2022-06-21T18:37:38Z)
• High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection [55.41644538483948]
  We study the qubit dephasing caused by the non-Gaussian fluctuators. We predict a symmetry-breaking effect that is unique to the non-Gaussian noise.
  arXiv  Detail & Related papers  (2022-06-06T18:02:38Z)
• Analyzing the impact of time-correlated noise on zero-noise extrapolation [0.879504058268139]
  We investigate the feasibility and performance of zero-noise extrapolation in the presence of time-correlated noise. Gate Trotterization is a new noise scaling technique that may be of independent interest.
  arXiv  Detail & Related papers  (2022-01-27T20:17:22Z)
• Learning Noise via Dynamical Decoupling of Entangled Qubits [49.38020717064383]
  Noise in entangled quantum systems is difficult to characterize due to many-body effects involving multiple degrees of freedom. We develop and apply multi-qubit dynamical decoupling sequences that characterize noise that occurs during two-qubit gates.
  arXiv  Detail & Related papers  (2022-01-26T20:22:38Z)
• Fingerprints of Qubit Noise in Transient Cavity Transmission [0.0]
  We study a generic two-level system with fluctuating control parameters in a photonic cavity. We find that basic features of the noise spectral density are imprinted in the transient transmission through the cavity. We propose a way of extracting the spectral density for arbitrary noise in a frequency band only bounded by the range of the qubit-cavity detuning.
  arXiv  Detail & Related papers  (2022-01-21T12:37:27Z)
• Analyzing and Improving the Optimization Landscape of Noise-Contrastive Estimation [50.85788484752612]
  Noise-contrastive estimation (NCE) is a statistically consistent method for learning unnormalized probabilistic models. It has been empirically observed that the choice of the noise distribution is crucial for NCE's performance. In this work, we formally pinpoint reasons for NCE's poor performance when an inappropriate noise distribution is used.
  arXiv  Detail & Related papers  (2021-10-21T16:57:45Z)
• Noise Effects on the Wilczek-Zee Geometric Phase [0.0]
  Non-abelian geometric phases are dependent on noise. Noise of frequency $m = 2$ has a very different, and, at the same time, very pronounced effect.
  arXiv  Detail & Related papers  (2021-03-20T06:13:56Z)
• Shape Matters: Understanding the Implicit Bias of the Noise Covariance [76.54300276636982]
  Noise in gradient descent provides a crucial implicit regularization effect for training over parameterized models. We show that parameter-dependent noise -- induced by mini-batches or label perturbation -- is far more effective than Gaussian noise. Our analysis reveals that parameter-dependent noise introduces a bias towards local minima with smaller noise variance, whereas spherical Gaussian noise does not.
  arXiv  Detail & Related papers  (2020-06-15T18:31:02Z)

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.