diff --git a/qiskit_experiments/curve_analysis/composite_curve_analysis.py b/qiskit_experiments/curve_analysis/composite_curve_analysis.py
index 680aba1829..f19807e9c8 100644
--- a/qiskit_experiments/curve_analysis/composite_curve_analysis.py
+++ b/qiskit_experiments/curve_analysis/composite_curve_analysis.py
@@ -282,6 +282,7 @@ def _run_analysis(
         fit_dataset = {}
         for analysis in self._analyses:
             analysis._initialize(experiment_data)
+            analysis.experiment_metadata = self.experiment_metadata
 
             metadata = analysis.options.extra.copy()
             metadata["group"] = analysis.name
diff --git a/qiskit_experiments/curve_analysis/standard_analysis/bloch_trajectory.py b/qiskit_experiments/curve_analysis/standard_analysis/bloch_trajectory.py
index f3c8909a25..2d6f7471fe 100644
--- a/qiskit_experiments/curve_analysis/standard_analysis/bloch_trajectory.py
+++ b/qiskit_experiments/curve_analysis/standard_analysis/bloch_trajectory.py
@@ -166,6 +166,9 @@ def _generate_fit_guesses(
         user_opt.bounds.set_if_empty(t_off=(0, np.inf), b=(-1, 1))
         user_opt.p0.set_if_empty(b=1e-9)
 
+        if "xval_offset" in self.experiment_metadata:
+            user_opt.p0.set_if_empty(t_off=self.experiment_metadata["xval_offset"])
+
         x_data = curve_data.get_subset_of("x")
         y_data = curve_data.get_subset_of("y")
         z_data = curve_data.get_subset_of("z")
diff --git a/qiskit_experiments/framework/base_analysis.py b/qiskit_experiments/framework/base_analysis.py
index 47892490f0..071b3db82a 100644
--- a/qiskit_experiments/framework/base_analysis.py
+++ b/qiskit_experiments/framework/base_analysis.py
@@ -53,6 +53,24 @@ def __init__(self):
         # Store keys of non-default options
         self._set_options = set()
 
+        # Store experiment metadata
+        self._experiment_metadata = None
+
+    @property
+    def experiment_metadata(self):
+        """Metadata of experiment under current analysis."""
+        return self._experiment_metadata
+
+    @experiment_metadata.setter
+    def experiment_metadata(self, metadata: Dict):
+        to_skip = ["_source"]
+        in_data = {}
+        for key, value in metadata.items():
+            if key in to_skip:
+                continue
+            in_data[key] = value
+        self._experiment_metadata = in_data
+
     def config(self) -> AnalysisConfig:
         """Return the config dataclass for this analysis"""
         args = tuple(getattr(self, "__init_args__", OrderedDict()).values())
@@ -157,6 +175,7 @@ def run(
         else:
             analysis = self.copy()
             analysis.set_options(**options)
+        analysis.experiment_metadata = experiment_data.metadata
 
         def run_analysis(expdata):
             results, figures = analysis._run_analysis(expdata)
diff --git a/qiskit_experiments/library/characterization/analysis/t2ramsey_analysis.py b/qiskit_experiments/library/characterization/analysis/t2ramsey_analysis.py
index d33d60a478..b26c604ea0 100644
--- a/qiskit_experiments/library/characterization/analysis/t2ramsey_analysis.py
+++ b/qiskit_experiments/library/characterization/analysis/t2ramsey_analysis.py
@@ -14,7 +14,7 @@
 """
 from typing import Union
 import qiskit_experiments.curve_analysis as curve
-from qiskit_experiments.framework import Options
+from qiskit_experiments.framework import Options, ExperimentData
 
 
 class T2RamseyAnalysis(curve.DampedOscillationAnalysis):
@@ -66,3 +66,12 @@ def _evaluate_quality(self, fit_data: curve.CurveFitResult) -> Union[str, None]:
             return "good"
 
         return "bad"
+
+    def _initialize(
+        self,
+        experiment_data: ExperimentData,
+    ):
+        super()._initialize(experiment_data)
+
+        if "virtual_freq" in self.experiment_metadata:
+            self.set_options(extra={"virtual_freq": self.experiment_metadata["virtual_freq"]})
diff --git a/qiskit_experiments/library/characterization/cr_hamiltonian.py b/qiskit_experiments/library/characterization/cr_hamiltonian.py
index b1cce00928..bc69b0f1e2 100644
--- a/qiskit_experiments/library/characterization/cr_hamiltonian.py
+++ b/qiskit_experiments/library/characterization/cr_hamiltonian.py
@@ -344,17 +344,6 @@ def circuits(self) -> List[QuantumCircuit]:
                     expr_circs.append(tomo_circ)
         return expr_circs
 
-    def _finalize(self):
-        """Set analysis option for initial guess that depends on experiment option values."""
-        edge_duration = np.sqrt(2 * np.pi) * self.experiment_options.sigma * self.num_pulses
-
-        for analysis in self.analysis.analyses():
-            init_guess = analysis.options.p0.copy()
-            if "t_off" in init_guess:
-                continue
-            init_guess["t_off"] = edge_duration * self._dt
-            analysis.set_options(p0=init_guess)
-
     def _metadata(self):
         metadata = super()._metadata()
         # Store measurement level and meas return if they have been
@@ -362,6 +351,11 @@ def _metadata(self):
         for run_opt in ["meas_level", "meas_return"]:
             if hasattr(self.run_options, run_opt):
                 metadata[run_opt] = getattr(self.run_options, run_opt)
+
+        # Store effective edge duration
+        edge_duration = np.sqrt(2 * np.pi) * self.experiment_options.sigma * self.num_pulses
+        metadata["xval_offset"] = edge_duration * self._dt
+
         return metadata
 
 
diff --git a/qiskit_experiments/library/characterization/t2ramsey.py b/qiskit_experiments/library/characterization/t2ramsey.py
index 5bb7328b0c..ba8c9ec139 100644
--- a/qiskit_experiments/library/characterization/t2ramsey.py
+++ b/qiskit_experiments/library/characterization/t2ramsey.py
@@ -158,4 +158,6 @@ def _metadata(self):
         for run_opt in ["meas_level", "meas_return"]:
             if hasattr(self.run_options, run_opt):
                 metadata[run_opt] = getattr(self.run_options, run_opt)
+        metadata["virtual_freq"] = self.experiment_options.osc_freq
+
         return metadata