Related Experiment Video
Updated: Sep 1, 2025
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
9.7K
Universality Class of Ising Critical States with Long-Range Losses
1Institut für Physik, Johannes Gutenberg Universität Mainz, D-55099 Mainz, Germany and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA.
Physical Review Letters
|August 12, 2022
Summary
Spatial dissipation qualitatively modifies critical points in d-dimensional Ising spin systems. A novel dynamical field theory emerges, offering new insights into nonunitary universality classes and driven open quantum systems.
Area of Science:
- Condensed Matter Physics
- Quantum Systems
- Statistical Mechanics
Background:
- Spatial dissipation can influence the critical behavior of quantum systems.
- Understanding non-unitary universality classes is crucial for driven open systems.
Purpose of the Study:
- To investigate how spatial resolved dissipation affects d-dimensional spin systems in the Ising universality class.
- To explore the emergence of novel critical scaling regimes and dynamical field theories.
Main Methods:
- Modeling power-law decaying spin losses with a Lindbladian spectrum.
- Analyzing soft modes decoupled from dissipation at small momenta.
- Developing a Langevin model for the nonequilibrium critical point.
Main Results:
- Spatial dissipation leads to a new universality class, a nonunitary counterpart of long-range Ising models.
- A dynamical field theory with inertial and frictional coefficients emerges for α<1.
- Critical exponents differ from unitary long-range counterparts.
Conclusions:
- Spatial resolved dissipation can fundamentally alter critical points in quantum spin systems.
- The findings suggest a revision of universality concepts in driven open systems.
- Programmable dissipation offers a route to engineer dark states and control quantum criticality.
Related Concept Videos
01:10Entropy Change in Reversible Processes
2.7K
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.
2.7K
01:23Lossless Lines
165
In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi,...
165
01:14Central Limit Theorem
15.9K
The central limit theorem, abbreviated as clt, is one of the most powerful and useful ideas in all of statistics. The central limit theorem for sample means says that if you repeatedly draw samples of a given size and calculate their means, and create a histogram of those means, then the resulting histogram will tend to have an approximate normal bell shape. In other words, as sample sizes increase, the distribution of means follows the normal distribution more closely.
The sample size, n, that...
The sample size, n, that...
15.9K
01:17Wald-Wolfowitz Runs Test II
307
The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and...
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and...
307
01:15Routh-Hurwitz Criterion I
321
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
321
01:19Routh-Hurwitz Criterion II
382
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
382