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相关概念视频

Entropy Change in Reversible Processes01:10

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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.
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The Quantum-Mechanical Model of an Atom02:45

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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.
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Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
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The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
 
where R is the gas constant (8.314 J/K·mol), T is the absolute temperature in kelvin, and Q is the reaction quotient. This equation may be used to predict the spontaneity of a process under any given set of conditions.
Reaction Quotient...
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Fermi Level Dynamics01:12

Fermi Level Dynamics

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
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BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
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Updated: Jul 23, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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可整合的数字量子模拟:一般化的吉布斯集和Trotter过渡.

Eric Vernier1, Bruno Bertini2,3, Giuliano Giudici4,5

  • 1CNRS and Université Paris Cité, Laboratoire de Probabilités, Statistique et Modélisation, F-75013 Paris, France.

Physical review letters
|July 14, 2023
PubMed
概括

数字量子模拟 (DQS) 错误通常无法控制. 然而,对于可整合的系统,错误仍然是有限的,揭示了与保存量和分阶磁化相关的新型Trotter过渡.

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科学领域:

  • 量子信息科学 量子信息科学
  • 凝聚物质物理学 凝聚物质物理学
  • 计算物理 计算物理

背景情况:

  • 数字量子模拟 (DQS) 使用离散的Trotter步骤近似连续动态.
  • 以前的研究表明,由于量子混乱,错误变得无法控制的急剧Trotter过渡.
  • 可整合的系统,拥有精确的保存规律,为DQS忠实性提供了不同的视角.

研究的目的:

  • 为了研究一个可整合的系统中Trotterized进化的行为,特别是XXZ海森伯格旋转链.
  • 将典型的Trotter过渡与可整合DQS中观察到的现象进行对比.
  • 在可整合模型的数字量子模拟中识别Trotter过渡的新型签名.

主要方法:

  • 专注于XXZ海森堡旋转链中的自旋波状态的火.
  • 分析可整合的Trotterized进化作为Trotter步骤持续时间 (τ) 的函数.
  • 采用精确的计算来确定晚时动态的属性,由离散的一般化吉布斯集团 (dGGE) 描述.

主要成果:

  • 对于小的 τ,dGGE 在分析上依赖于Trotter 步骤,保持离谱化误差的界限.
  • 一个新的Trotter过渡发生在一个值 τ_{th},在那里dGGE突然变化.
  • 这种过渡可以通过依赖于t的非零分级磁化的出现在本地检测到.

结论:

  • 可整合的DQS不一定会导致不受控制的错误,挑战以前关于Trotter过渡的假设.
  • 在可集成系统中存在一种新型的Trotter过渡,其特点是dGGE的突然变化.
  • 离散的GGE代表了数字量子平台特有的独特的不平衡状态.