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Quantum Friction: Cooling Quantum Systems with Unitary Time Evolution
Nuclear Theory · Submitted 29 May 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart.
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The abstract, sentence by sentence
We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. Unlike the Kossakowski-Lindblad master equation, local quantum friction directly effects unitary evolution of the wavefunctions rather than the density matrix: it may thus be used to cool fermionic many-body systems with thousands of wavefunctions that must remain orthogonal. In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. | contribution 0.95 | 0.90 | 0.44 | asserted 1.00 |
| s1 | Unlike the Kossakowski-Lindblad master equation, local quantum friction directly effects unitary evolution of the wavefunctions rather than the density matrix: it may thus be used to cool fermionic many-body systems with thousands of wavefunctions that must remain orthogonal. | contribution 0.53 | 0.41 | 0.22 | hedged possibility 0.86 |
| s2 | In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart. | result 0.48 | 0.66 | 0.30 | asserted 0.99 |
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The paper
Original abstract
We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. Unlike the Kossakowski-Lindblad master equation, local quantum friction directly effects unitary evolution of the wavefunctions rather than the density matrix: it may thus be used to cool fermionic many-body systems with thousands of wavefunctions that must remain orthogonal. In addition to providing an efficient way to simulate quantum dissipation and non-equilibrium dynamics, local quantum friction coupled with adiabatic state preparation significantly speeds up many-body simulations, making the solution of the time-dependent Schr\"odinger equation significantly simpler than the solution of its stationary counterpart.
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References
How the literature uses it
6 arXiv papers cite this in 12 sentences
Papers citing it · 6 sentences without a confident label
Builds on it 1 paper
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This was the idea behind the LQF algorithm [ref] , which we extend here to the pairing channel.
Local Quantum Cooling for Large Fermi Systems with Pairing · Introduction. · 1.00
Uses its method or tool 2 papers
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Instead of solving ASLDA equations in 3D, which is prohibitively expensive, we followed a different strategy presented in [ref] .
Suppressed solitonic cascade in spin-imbalanced superfluid Fermi gas · Initial state preparation · 1.00
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The adiabatic state preparation can be significantly accelerated by introducing a “quantum friction” term to remove phonon noise [ref] .
Strength of the Vortex-Pinning Interaction from Real-Time Dynamics · Introduction · 0.92
Cites it as support 1 paper
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The term $γ[n]ṅ∝- ∇·p(r,t)$, per continuity equation [ref] , plays the role of “quantum friction”, in which the “friction coefficient” $γ[n]$ can depend on the number density and/or its gradient, etc. and thus it can simulate volume and/or surface "friction." In the presence of this “quantum friction” term alone $Ė_tot(t)≤0$ and $lim_t→∞ v(r,t)= 0$ [ref] , similarly to the classical Langevin equation.
Unitary evolution with fluctuations and dissipation · Introduction · 0.96
Cites it as background 1 paper
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The effects of a cooling friction during switching have been studied previously [ref] .
Dynamics of one-dimensional correlated nuclear systems within non-equilibrium Green's function theory · Preparing finite correlated nuclear systems · 0.91
What it cites · 12 sentences without a confident label
Uses the method or tool of 4 papers
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In the final example, we demonstrate local quantum friction applied to a large-scale TDDFT simulation modeling the unitary Fermi gas with the TDSLDA [ref] .
The Unitary Fermi Gas: From Monte Carlo to Density Functionals · Introduction · 0.83
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In the final example, we demonstrate local quantum friction applied to a large-scale TDDFT simulation modeling the unitary Fermi gas with the TDSLDA [ref] .
Quantum Shock Waves and Domain Walls in the Real-Time Dynamics of a Superfluid Unitary Fermi Gas · Introduction · 0.83
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In the final example, we demonstrate local quantum friction applied to a large-scale TDDFT simulation modeling the unitary Fermi gas with the TDSLDA [ref] .
Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids · Introduction · 0.83
Cites as background 1 paper
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DFT and its time-dependent extension TDDFT, see e.g. [ref] , provide a unified approach to study both structure and reactions (dynamics).
Laser-driven nonlinear cluster dynamics · Introduction · 0.93
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