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Related Concept Videos

Phase Transitions02:31

Phase Transitions

19.1K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
19.1K
Phase Transitions01:21

Phase Transitions

131
A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
131
Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

11.7K
Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
11.7K
Phase Diagram01:19

Phase Diagram

5.9K
The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
5.9K
Phase Diagram01:24

Phase Diagram

247
A phase diagram is a graphical representation of the physical states of a substance under different conditions of temperature and pressure. It shows the boundaries between solid, liquid, and gas phases and the conditions at which these phases coexist in equilibrium. An area in a phase diagram represents a single phase, whereas lines or phase boundaries represent the equilibrium between two phases.In the phase diagram of water, the boundary line between the solid and liquid states illustrates...
247
Network Function of a Circuit01:25

Network Function of a Circuit

1.1K
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
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Related Experiment Video

Updated: May 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

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Quantum phase transition in fiber-coupled quantum networks.

Zheng-Da Hu, Jing-Bo Xu

    Optics Letters
    |October 10, 2013
    PubMed
    Summary

    We studied quantum criticality in a 1D quantum network. Dramatic changes in ground state fidelity and entanglement entropy signal critical points, with photon imbalance heralding phase transitions.

    Area of Science:

    • Quantum physics
    • Condensed matter theory
    • Quantum information science

    Background:

    • Quantum networks are crucial for quantum information processing.
    • Understanding quantum criticality is key to designing robust quantum systems.
    • Cavity-coupled atomic systems offer a platform for studying quantum phenomena.

    Purpose of the Study:

    • To investigate quantum criticality in a one-dimensional quantum network.
    • To analyze the influence of atom number on phase diagrams.
    • To identify precursors to phase transitions in quantum networks.

    Main Methods:

    • Mean-field approximation applied to a network of N two-level atoms in cavities.
    • Analysis of ground state fidelity and entanglement entropy.

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    Related Experiment Videos

    Last Updated: May 7, 2026

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  • Analytical exploration of photon population imbalance in a two-node network.

    • Main Results:

    • Phase diagrams reveal critical points dependent on atom number.
    • Ground state fidelity and entanglement entropy exhibit significant changes near critical points.
    • Photon population imbalance serves as an indicator of impending phase transitions.

    Conclusions:

    • The 1D quantum network exhibits quantum criticality.
    • Atom number is a critical parameter tuning the network's quantum phases.
    • Photon population imbalance is a viable precursor for detecting phase transitions in such systems.