Related Experiment Video
Updated: Jul 10, 2025
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
9.7K
Interaction-induced directed transport in quantum chaotic subsystems
Sanku Paul1, J Bharathi Kannan2, M S Santhanam2
1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 USA.
Physical Review. E
|November 18, 2023
Summary
Directed quantum transport emerges in interacting chaotic systems. Interactions break symmetries, enabling quantum currents within subsystems, controllable by interaction strength.
Area of Science:
- Quantum physics
- Chaos theory
- Condensed matter physics
Background:
- Directed quantum transport typically requires noninteracting systems with broken symmetries.
- Interacting quantum systems present challenges due to complex dynamics and emergent phenomena.
- Classical chaos in quantum systems offers a unique platform for exploring novel transport mechanisms.
Purpose of the Study:
- To investigate the possibility of directed quantum transport in interacting two-body chaotic systems.
- To identify mechanisms for generating quantum directed currents in systems with intrinsic symmetry breaking.
- To explore the role of interactions in controlling directed transport phenomena.
Main Methods:
- Analysis of interacting two-body quantum systems with chaotic classical limits.
- Theoretical framework demonstrating how subsystem interactions induce temporal symmetry breaking.
- Explicit demonstration using the two-body interacting kicked rotor model.
Main Results:
- One subsystem acts as a noise source, breaking temporal symmetry and enabling directed currents.
- Quantum directed currents are realized in subsystems, even when prohibited by the composite system's symmetries.
- Current magnitude shows multiple reversals with varying interaction strength, allowing for control.
Conclusions:
- A minimal framework for directed transport in interacting chaotic systems involves broken spatial symmetry and interactions.
- Interaction-induced directed currents are of quantum origin, not semiclassical.
- The proposed mechanism is applicable to a broader range of interacting quantum systems.
Related Concept Videos
01:10Entropy Change in Reversible Processes
2.6K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.6K
01:10First Law: Particles in One-dimensional Equilibrium
6.9K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.9K
01:21Carrier Transport
449
The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
449
02:45The Quantum-Mechanical Model of an Atom
42.4K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.4K
02:32The de Broglie Wavelength
25.9K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.9K
01:18First Law: Particles in Two-dimensional Equilibrium
5.1K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
5.1K