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HierarchicalEOM.jl/SIAM.html

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@@ -502,7 +502,7 @@ <h2 class="anchored" data-anchor-id="construct-heomls-matrix">Construct HEOMLS m
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<span id="cb6-3"><a href="#cb6-3"></a>M_odd <span class="op">=</span> <span class="fu">M_Fermion</span>(Hsys, tier, bath_list, ODD)</span></code></pre></div><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></div>
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<div class="cell-output cell-output-stdout">
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<pre><code>Preparing block matrices for HEOM Liouvillian superoperator (using 4 threads)...
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Progress: [==============================] 100.0% --- Elapsed Time: 0h 00m 00s (ETA: 0h 00m 00s)
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Constructing matrix...[DONE]
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Preparing block matrices for HEOM Liouvillian superoperator (using 4 threads)...
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<span id="cb12-2"><a href="#cb12-2"></a>dos <span class="op">=</span> <span class="fu">DensityOfStates</span>(M_odd, ados_s, d_up, ωlist)</span></code></pre></div><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></div>
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<div class="cell-output cell-output-stdout">
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<pre><code>Calculating density of states in frequency domain...
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Progress: [==== ] 14.3% --- Elapsed Time: 0h 00m 01s (ETA: 0h 00m 06s)Progress: [======= ] 23.8% --- Elapsed Time: 0h 00m 02s (ETA: 0h 00m 06s)Progress: [========== ] 33.3% --- Elapsed Time: 0h 00m 03s (ETA: 0h 00m 06s)Progress: [============ ] 42.9% --- Elapsed Time: 0h 00m 04s (ETA: 0h 00m 05s)Progress: [=============== ] 52.4% --- Elapsed Time: 0h 00m 06s (ETA: 0h 00m 05s)Progress: [================== ] 61.9% --- Elapsed Time: 0h 00m 07s (ETA: 0h 00m 04s)Progress: [===================== ] 71.4% --- Elapsed Time: 0h 00m 08s (ETA: 0h 00m 03s)Progress: [========================= ] 85.7% --- Elapsed Time: 0h 00m 10s (ETA: 0h 00m 01s)Progress: [==============================] 100.0% --- Elapsed Time: 0h 00m 11s (ETA: 0h 00m 00s)
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[DONE]</code></pre>
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</div>
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<div class="cell-output cell-output-display" data-execution_count="1">
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Package information:
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====================================
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Julia Ver. 1.11.7
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Julia Ver. 1.12.0
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HierarchicalEOM Ver. 2.7.0
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QuantumToolbox Ver. 0.36.0
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SciMLOperators Ver. 1.7.2
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SciMLOperators Ver. 1.9.0
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LinearSolve Ver. 3.28.0
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OrdinaryDiffEqCore Ver. 1.34.0
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OrdinaryDiffEqCore Ver. 1.36.0
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System information:
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====================================
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Memory : 15.621 GB
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WORD_SIZE: 64
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LIBM : libopenlibm
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LLVM : libLLVM-16.0.6 (ORCJIT, znver3)
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LLVM : libLLVM-18.1.7 (ORCJIT, znver3)
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BLAS : libopenblas64_.so (ilp64)
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Threads : 4 (on 4 virtual cores)
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HierarchicalEOM.jl/SIAM.ipynb

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"[`QuantumToolbox.jl`](https://github.com/qutip/QuantumToolbox.jl) to\n",
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"construct the operators."
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],
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"id": "1e991c7c-f062-4021-955a-38d67ceb9736"
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"id": "0f6e8b03-8fed-47ce-87ce-e909f46054fe"
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},
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{
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"cell_type": "code",
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"- the chemical potential $\\mu$\n",
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"- the total number of exponentials for the reservoir $2(N + 1)$"
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],
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"id": "2d91d9f6-98d7-496d-97f0-33770e3a9413"
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"id": "bde4fa37-f32c-4d06-9028-2c16d4aae908"
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},
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{
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"cell_type": "code",
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"source": [
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"## Construct HEOMLS matrix"
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],
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"id": "18c552c8-6a2e-4dd7-96df-acc1c303fb59"
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"id": "121df3f3-50d4-49ea-bf49-658d120854f5"
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},
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{
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"cell_type": "code",
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"name": "stdout",
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"text": [
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"Preparing block matrices for HEOM Liouvillian superoperator (using 4 threads)...\n",
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"Progress: [==============================] 100.0% --- Elapsed Time: 0h 00m 00s (ETA: 0h 00m 00s)\n",
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"Constructing matrix...[DONE]\n",
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"Preparing block matrices for HEOM Liouvillian superoperator (using 4 threads)...\n",
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"Progress: [==============================] 100.0% --- Elapsed Time: 0h 00m 00s (ETA: 0h 00m 00s)\n",
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"source": [
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"## Solve stationary state of ADOs"
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],
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"id": "c8ca3830-3f28-4f84-8f7d-b3a8f71244a3"
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"id": "22c6c211-b447-48d8-a719-6fda383e714a"
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},
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{
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"cell_type": "code",
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"source": [
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"## Calculate density of states (DOS)"
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],
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"id": "fbf27d76-6e10-4e34-80eb-6d8eeec39a8f"
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"id": "14cc4211-01b1-46aa-8a8c-0647a2a0a3bd"
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},
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{
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"cell_type": "code",
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"name": "stdout",
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"text": [
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"Calculating density of states in frequency domain...\n",
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"Progress: [==== ] 14.3% --- Elapsed Time: 0h 00m 01s (ETA: 0h 00m 06s)Progress: [======= ] 23.8% --- Elapsed Time: 0h 00m 02s (ETA: 0h 00m 06s)Progress: [========== ] 33.3% --- Elapsed Time: 0h 00m 03s (ETA: 0h 00m 06s)Progress: [============ ] 42.9% --- Elapsed Time: 0h 00m 05s (ETA: 0h 00m 06s)Progress: [=============== ] 52.4% --- Elapsed Time: 0h 00m 06s (ETA: 0h 00m 05s)Progress: [================== ] 61.9% --- Elapsed Time: 0h 00m 07s (ETA: 0h 00m 04s)Progress: [===================== ] 71.4% --- Elapsed Time: 0h 00m 09s (ETA: 0h 00m 03s)Progress: [======================== ] 81.0% --- Elapsed Time: 0h 00m 10s (ETA: 0h 00m 02s)Progress: [=========================== ] 90.5% --- Elapsed Time: 0h 00m 11s (ETA: 0h 00m 01s)Progress: [==============================] 100.0% --- Elapsed Time: 0h 00m 12s (ETA: 0h 00m 00s)\n",
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"Progress: [==== ] 14.3% --- Elapsed Time: 0h 00m 01s (ETA: 0h 00m 06s)Progress: [======= ] 23.8% --- Elapsed Time: 0h 00m 02s (ETA: 0h 00m 06s)Progress: [========== ] 33.3% --- Elapsed Time: 0h 00m 03s (ETA: 0h 00m 06s)Progress: [============ ] 42.9% --- Elapsed Time: 0h 00m 04s (ETA: 0h 00m 05s)Progress: [=============== ] 52.4% --- Elapsed Time: 0h 00m 06s (ETA: 0h 00m 05s)Progress: [================== ] 61.9% --- Elapsed Time: 0h 00m 07s (ETA: 0h 00m 04s)Progress: [===================== ] 71.4% --- Elapsed Time: 0h 00m 08s (ETA: 0h 00m 03s)Progress: [========================= ] 85.7% --- Elapsed Time: 0h 00m 10s (ETA: 0h 00m 01s)Progress: [==============================] 100.0% --- Elapsed Time: 0h 00m 11s (ETA: 0h 00m 00s)\n",
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"[DONE]"
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]
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},
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"source": [
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"plot the results"
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],
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"id": "60bd3a00-c6bc-47d2-93ed-b57c5e148274"
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"id": "5dcb5588-d636-4f5a-bc45-c0d6fc6615cc"
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"source": [
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"## Version Information"
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],
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"id": "0fd52e5c-6ad3-4e9b-9d14-45555b206eef"
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"id": "65638f0a-cb7b-4602-9b5e-cd58b7c5d070"
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{
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"cell_type": "code",
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"Systems.” *Communications Physics* 6 (1): 313.\n",
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"<https://doi.org/10.1038/s42005-023-01427-2>."
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],
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"id": "4afe4645-58e7-4bd6-9995-9a6e364b0511"
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"id": "6fcddff6-4815-413e-8ce0-0f132222e49d"
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}
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"nbformat": 4,
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"language_info": {
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"name": "julia",
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"codemirror_mode": "julia",
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"version": "1.11.7"
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"version": "1.12.0"
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HierarchicalEOM.jl/cavityQED.html

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@@ -524,7 +524,7 @@ <h2 class="anchored" data-anchor-id="construct-heomls-matrix">Construct HEOMLS m
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<pre><code>Checking the importance value for each ADOs...[DONE]
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Preparing block matrices for HEOM Liouvillian superoperator (using 4 threads)...
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Constructing matrix...[DONE]</code></pre>
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<span id="cb9-2"><a href="#cb9-2"></a>sol_H <span class="op">=</span> <span class="fu">HEOMsolve</span>(M_Heom, ψ<span class="fl">0</span>, t_list; e_ops <span class="op">=</span> [σz, a<span class="op">'</span> <span class="op">*</span> a])</span></code></pre></div><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></div>
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<pre><code>Solving time evolution for ADOs by Ordinary Differential Equations method...
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<pre><code>Solution of hierarchical EOM
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<span id="cb19-9"><a href="#cb19-9"></a>fig</span></code></pre></div><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></div>
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<pre><code>Calculating power spectrum in frequency domain...
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[DONE]</code></pre>
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Package information:
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====================================
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Julia Ver. 1.11.7
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Julia Ver. 1.12.0
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HierarchicalEOM Ver. 2.7.0
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QuantumToolbox Ver. 0.36.0
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SciMLOperators Ver. 1.7.2
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SciMLOperators Ver. 1.9.0
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LinearSolve Ver. 3.28.0
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OrdinaryDiffEqCore Ver. 1.36.0
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System information:
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LLVM : libLLVM-18.1.7 (ORCJIT, znver3)
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BLAS : libopenblas64_.so (ilp64)
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Threads : 4 (on 4 virtual cores)
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