quantum tunneling
Enable an AI agent to recognise a proposed quantum-tunneling process, assess its evidential and operational state, and identify justified calculations, measurements or interventions.
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
Researched by: Codex + Grok
Purpose and description
Enable an AI agent to recognise a proposed quantum-tunneling process, assess its evidential and operational state, and identify justified calculations, measurements or interventions.
Quantum tunneling is the transmission of a quantum particle or quasiparticle through a classically forbidden potential barrier, with a nonzero probability set by the barrier height, width, and the particle's energy and mass.
It can be Assess whether a reported transition meets an explicit tunneling criterion.; Estimate transmission, rate or current using a model whose assumptions match the recorded regime.; Compare tunneling with thermal activation, above-barrier passage and alternative pathways.; Propose discriminating measurements that vary barrier width, bias, temperature or another mechanism-sensitive parameter.; Predict the effect of a specified barrier or state-preparation change within validated conditions.; Revise mechanism attribution or withhold a prediction when evidence or model validity is insufficient..
Distinguishing features
A specified classical reference model blocks passage along the proposed pathway; a quantum transition alone does not establish tunneling.
The proposed quantum description connects initial and final regions through a classically forbidden barrier, rather than solely through an energetically allowed route.
Attribution considers the incident energy distribution and thermal population, rather than inferring tunneling merely from transmission below a nominal barrier height.
Measured or predicted dependence on barrier width, barrier shape, bias or isotope substitution is assessed against explicit alternatives; no single dependence is treated as universally decisive.
State transfer is tied to a barrier-crossing process; entanglement correlations or a teleportation protocol alone do not meet that test.
Scope
+ The tunneling entity, initial and final states, and physical or configuration-space barrier.
+ The classical reference model that makes the transition forbidden and the quantum model that permits it.
+ Transmission probabilities, tunneling rates or currents, with their conditions and uncertainties.
+ Evidence distinguishing tunneling from thermal activation, above-barrier transmission and other competing processes.
+ Dependence on barrier geometry, bias, temperature, coherence and environmental coupling.
+ Process-specific predictions and interventions within a stated model-validity range.
- Complete models of devices that exploit tunneling, including their manufacturing and maintenance.
- General quantum-state preparation, measurement and control beyond their role in this process.
- Complete material, molecular or nuclear descriptions independent of the tunneling pathway.
- Thermal activation and classical transport mechanisms except as competing explanations.
- Quantum entanglement and quantum teleportation as separate phenomena.
Characteristics
- Tunneling entity
- Electron, proton, atom, composite particle, collective degree of freedom or explicitly specified alternative. Determines the relevant dynamics, interactions and appropriate effective description.
- Initial and final states
- References to prepared, occupied or accessible states, including energy distributions and boundary conditions. Defines what crosses the barrier and what counts as a completed transition.
- Barrier profile
- Potential-energy function or landscape linked to coordinates, conditions and its derivation. Makes the forbidden region explicit and supports calculation of the proposed pathway.
- Barrier height relative to incident energy
- J or eV, with reference energy, uncertainty and energy-distribution coverage. Helps distinguish below-barrier contributions from energetically allowed transmission.
- Forbidden-region extent
- m for a spatial coordinate; otherwise explicitly defined coordinate units and turning boundaries. Constrains transmission estimates and identifies ambiguity in multidimensional pathways.
- Tunneling observable
- Transmission probability in [0, 1], transition rate in s^-1, current in A or another explicitly defined observable. Separates distinct measurable quantities and prevents unsupported conversion between probability, rate and current.
- Operating conditions
- Temperature in K, bias in V, applied fields in stated units and relevant drive frequencies in Hz. Conditions can change both the barrier and competing transport or transition mechanisms.
- Dynamical regime
- Coherent, incoherent, mixed or unresolved; elastic, inelastic or unresolved, with operational criteria. Determines which descriptions and observable signatures are appropriate.
- Mechanism attribution
- Proposed, supported, unresolved mixture, disfavoured or outside model validity. Controls whether an agent may report tunneling as an interpretation or use it as a basis for prediction.
- Evidence basis
- Links to inspected measurements, calculations and sources with conditions, uncertainties and supported claims. Makes the mechanism assessment traceable without treating a model fit as direct observation.
Also called
Where this came from
wikidata · CC0 1.0
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 6 bundles · 11 layers · 17 findings · 27 questions.
System and forbidden pathway Identify the quantum system, transition endpoints and barrier that make this a tunneling candidate.
Without an explicit system and classical obstruction, an agent cannot distinguish tunneling from an unspecified quantum transition.
Transition identity
Define the entity and states participating in the proposed process.
Entity and transition endpoints
Record the tunneling entity, relevant degree of freedom and operational definitions of the initial and final states.
- What particle or collective degree of freedom tunnels, and how are its initial and final states defined? definition
- What observation distinguishes arrival in the final state from temporary occupation or return to the initial region? measurement
Classical obstruction
Locate the barrier relative to the accessible classical motion.
Barrier and classical reference
Record the barrier landscape, reaction or transport coordinate, energy reference and classical assumptions that exclude passage.
- Which region is classically forbidden for the recorded energy distribution, conserved quantities and pathway? boundary
- Which inspected measurement, calculation or source establishes the barrier profile and its uncertainty? provenance
Quantum description and regime Specify how the proposed tunneling process is represented and where that representation applies.
Different tunneling settings require different dynamics; a transmission calculation is meaningful only with its assumptions and boundary conditions.
Dynamical representation
Capture the quantum model and its connection to the barrier-crossing claim.
Governing model and approximation
Record the Hamiltonian or effective dynamics, boundary conditions and approximation used to obtain a tunneling prediction.
- Which quantum model connects the specified initial and final states through the forbidden region? definition
- Under what conditions does the selected approximation fail, including near turning points or resonances where applicable? boundary
Environment and energy exchange
Describe environmental coupling, coherence and energy exchange relevant to the pathway.
Coupling and process regime
Record whether coherence, dissipation or exchanged energy changes the tunneling description or opens an allowed alternative route.
- What evidence supports the assigned coherent or incoherent and elastic or inelastic regime? measurement
- Does energy supplied by the environment or drive leave a forbidden segment, or enable passage entirely over the barrier? boundary
Observables and quantification Connect the tunneling description to measurable outcomes and parameter-dependent predictions.
An agent must distinguish transmission probability, transition rate and current, and know what assumptions connect them.
Observable definition
Define what is measured or calculated and its normalization.
Probability, rate or current
Record the observable, units, sampling interval and any population or incident-flux assumptions needed to interpret it.
- Is the reported quantity a transmission probability, transition rate, current or another observable, and how is it normalized? measurement
- What assumptions about incident flux, state occupation, repeated attempts or reverse transitions connect the calculation to the measurement? definition
Parameter dependence
Capture sensitivity to the barrier, system parameters and operating conditions.
Response and prediction uncertainty
Record measured or predicted responses to parameter changes, including uncertainty and the range over which the response is supported.
- How does the observable change with barrier width, barrier height, effective mass, bias or temperature in the applicable model? measurement
- Which parameter uncertainties dominate the prediction, and over what range has its dependence been checked? boundary
Evidence and mechanism attribution Assess whether available observations support tunneling and how strongly they exclude alternatives.
A small current or rare transition does not by itself identify tunneling; the model must support a defensible mechanism judgement.
Traceable evidence
Separate observations, inferred quantities and theoretical predictions.
Observation-to-claim link
Connect each mechanism claim to inspected evidence, its measurement conditions and the inference needed to support it.
- Which inspected sources or datasets support the tunneling claim, and what did each directly measure or calculate? provenance
- Which steps from the measured signal to the tunneling attribution depend on fitted parameters or assumed barrier properties? measurement
Competing pathways
Compare tunneling with plausible alternative explanations and mixed mechanisms.
Alternative mechanism discrimination
Record tests of thermal activation, above-barrier transmission, defects, leakage or other relevant routes without assuming that only one mechanism contributes.
- Which alternative pathways can explain the observed signal under the same conditions, and what evidence constrains their contributions? boundary
- Which feasible measurement would most clearly distinguish the tunneling interpretation from its strongest remaining alternative? action
Intervention and decision limits Turn the process assessment into bounded predictions, experimental choices and reassessment conditions.
An agent needs to know which changes have justified predicted effects and when those predictions cease to apply.
Controllable tunneling conditions
Identify interventions that alter the barrier, state preparation or environmental coupling.
Intervention and expected effect
Record available controls and predicted effects on the tunneling observable, including coupled changes that complicate interpretation.
- Which accessible control changes the barrier or participating states, and what observable response is predicted within the validated range? action
- Would the proposed change also alter temperature, geometry, occupations or competing pathways enough to confound that prediction? boundary
Reassessment and stopping conditions
Define when an agent should update the interpretation or stop using a prediction.
Prediction use and revision
Record the evidence threshold for the intended decision and observations that would invalidate the current tunneling model.
- What evidence and uncertainty are sufficient to use the tunneling prediction for the intended calculation or intervention? action
- Which observations or operating-condition changes require revising the barrier model, considering another mechanism or withholding further predictions? boundary
Evidence and external alignment What the world already says about this thing, gathered so the model can be checked against it.
A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.
Reported evidence
Findings from the breadth pass, kept separate from the structural claims.
Kinds and varieties
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- alpha decay (Gamow tunneling)
- field emission / Fowler-Nordheim tunneling
- direct (elastic) barrier tunneling
- resonant tunneling
- Josephson (Cooper-pair) tunneling
- Zener / interband tunneling
- macroscopic quantum tunneling (e.g. Josephson phase, SQUID flux)
- scanning-tunneling-microscopy vacuum-gap tunneling
- Which of these kinds and varieties hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Identifiers and schemes
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- Wikidata - Q148370 - item Quantum tunnelling
- Which of these identifiers and schemes hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Real-world use
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- Alpha decay of heavy nuclei (Gamow model).
- Flash memory and EEPROM charge storage and leakage.
- Tunnel diodes and Esaki diodes in microwave oscillators.
- Josephson junctions in SQUIDs and superconducting qubits.
- Scanning tunneling microscopy of surfaces.
- Field-emission electron sources.
- Zener diodes and band-to-band tunneling FETs.
- Which of these real-world use hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Typical measurements
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- transmission probability - 10^-40 to ~1 depending on barrier - dimensionless
- barrier height - 0.1-10 - eV (electrons); MeV (nuclei)
- barrier width - 0.1-few nm (electrons); fm (nuclei) - m
- Which of these typical measurements hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Failure modes and hazards
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- Gate leakage and dielectric breakdown precursors in MOSFETs.
- Charge loss in floating-gate memory.
- Unwanted dark current in tunnel junctions.
- Which of these failure modes and hazards hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Regional variation
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- Spelling: tunnelling (IUPAC/UK) vs tunneling (US).
- Which of these regional variation hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Neighbouring kinds and how to tell them apart
Reported by the breadth pass; each item needs checking against its source before it becomes normative.
- thermal activation over a barrier - Classical Arrhenius hop requires energy ≥ barrier height; tunneling remains possible below the barrier and is weakly T-dependent or T-independent at low T.
- quantum reflection - Reflection from an attractive or steep potential without a classically forbidden region of the same kind.
- Which of these neighbouring kinds and how to tell them apart hold for the sense of quantum tunneling this model covers, and on what evidence? provenance
Sources
- Quantum tunnelling - Definition, historical kinds (alpha decay, field emission, STM), distinction from thermal activation.
- Scanning Tunneling Microscopy - STM as a real-world use of vacuum-gap electron tunneling.
What the second pass must settle
- Which operational criterion should delimit tunneling for driven, dissipative or multidimensional processes where the classical reference pathway is not unique?
- How should the model represent thermally assisted tunneling and mixed transport when the tunneling contribution cannot be separately identified?
- Which barrier properties are independently measurable in each application, and which remain dependent on an inverse model?
- If tunneling time is relevant, which operational definition and measurement protocol should be recorded, and how should incompatible time concepts be distinguished?
- Does an existing Vercy world model already own this concept, and which neighbouring models should own wave analogues or specialised tunneling devices?